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Finding the Fourth Proportional to 186,902.67, 257,925.62 and 102,019.74

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Solution

The fourth proportional to 186,902.67, 257,925.62 and 102,019.74 is: 140,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,902.67 : 257,925.62 = 102,019.74 : x
  2. Step 2: Convert to fraction form
    186,902.67/257,925.62 = 102,019.74/x
  3. Step 3: Cross multiply
    186,902.67x = 257,925.62 × 102,019.74
  4. Step 4: Simplify right side
    186,902.67x = 26,313,503,979.57
  5. Step 5: Solve for x
    x = 26,313,503,979.57/186,902.67
  6. Step 6: Final answer
    x = 140,787.20

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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.