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Finding the Fourth Proportional to 186,530.10, 257,411.82 and 101,647.14

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Solution

The fourth proportional to 186,530.10, 257,411.82 and 101,647.14 is: 140,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,530.10 : 257,411.82 = 101,647.14 : x
  2. Step 2: Convert to fraction form
    186,530.10/257,411.82 = 101,647.14/x
  3. Step 3: Cross multiply
    186,530.10x = 257,411.82 × 101,647.14
  4. Step 4: Simplify right side
    186,530.10x = 26,165,175,305.19
  5. Step 5: Solve for x
    x = 26,165,175,305.19/186,530.10
  6. Step 6: Final answer
    x = 140,273.21

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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.