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Finding the Fourth Proportional to 186,530.64, 257,411.46 and 101,647.70

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Solution

The fourth proportional to 186,530.64, 257,411.46 and 101,647.70 is: 140,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,530.64 : 257,411.46 = 101,647.70 : x
  2. Step 2: Convert to fraction form
    186,530.64/257,411.46 = 101,647.70/x
  3. Step 3: Cross multiply
    186,530.64x = 257,411.46 × 101,647.70
  4. Step 4: Simplify right side
    186,530.64x = 26,165,282,862.64
  5. Step 5: Solve for x
    x = 26,165,282,862.64/186,530.64
  6. Step 6: Final answer
    x = 140,273.38

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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.