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Finding the Fourth Proportional to 186,902.66, 257,929.18 and 102,022.76

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Solution

The fourth proportional to 186,902.66, 257,929.18 and 102,022.76 is: 140,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,902.66 : 257,929.18 = 102,022.76 : x
  2. Step 2: Convert to fraction form
    186,902.66/257,929.18 = 102,022.76/x
  3. Step 3: Cross multiply
    186,902.66x = 257,929.18 × 102,022.76
  4. Step 4: Simplify right side
    186,902.66x = 26,314,646,828.14
  5. Step 5: Solve for x
    x = 26,314,646,828.14/186,902.66
  6. Step 6: Final answer
    x = 140,793.32

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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.