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Finding the Fourth Proportional to 186,714.52, 257,688.18 and 106,154.20

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Solution

The fourth proportional to 186,714.52, 257,688.18 and 106,154.20 is: 146,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,714.52 : 257,688.18 = 106,154.20 : x
  2. Step 2: Convert to fraction form
    186,714.52/257,688.18 = 106,154.20/x
  3. Step 3: Cross multiply
    186,714.52x = 257,688.18 × 106,154.20
  4. Step 4: Simplify right side
    186,714.52x = 27,354,682,597.36
  5. Step 5: Solve for x
    x = 27,354,682,597.36/186,714.52
  6. Step 6: Final answer
    x = 146,505.38

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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.