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Finding the Fourth Proportional to 186,592.57, 257,497.75 and 101,709.63

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Solution

The fourth proportional to 186,592.57, 257,497.75 and 101,709.63 is: 140,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,592.57 : 257,497.75 = 101,709.63 : x
  2. Step 2: Convert to fraction form
    186,592.57/257,497.75 = 101,709.63/x
  3. Step 3: Cross multiply
    186,592.57x = 257,497.75 × 101,709.63
  4. Step 4: Simplify right side
    186,592.57x = 26,190,001,005.47
  5. Step 5: Solve for x
    x = 26,190,001,005.47/186,592.57
  6. Step 6: Final answer
    x = 140,359.29

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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.