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Finding the Fourth Proportional to 186,710.58, 257,657.49 and 101,822.58

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Solution

The fourth proportional to 186,710.58, 257,657.49 and 101,822.58 is: 140,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,710.58 : 257,657.49 = 101,822.58 : x
  2. Step 2: Convert to fraction form
    186,710.58/257,657.49 = 101,822.58/x
  3. Step 3: Cross multiply
    186,710.58x = 257,657.49 × 101,822.58
  4. Step 4: Simplify right side
    186,710.58x = 26,235,350,388.12
  5. Step 5: Solve for x
    x = 26,235,350,388.12/186,710.58
  6. Step 6: Final answer
    x = 140,513.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.