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Finding the Fourth Proportional to 186,902.40, 257,916.24 and 102,014.40

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Solution

The fourth proportional to 186,902.40, 257,916.24 and 102,014.40 is: 140,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,902.40 : 257,916.24 = 102,014.40 : x
  2. Step 2: Convert to fraction form
    186,902.40/257,916.24 = 102,014.40/x
  3. Step 3: Cross multiply
    186,902.40x = 257,916.24 × 102,014.40
  4. Step 4: Simplify right side
    186,902.40x = 26,311,170,473.86
  5. Step 5: Solve for x
    x = 26,311,170,473.86/186,902.40
  6. Step 6: Final answer
    x = 140,774.92

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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.