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Finding the Fourth Proportional to 186,898.53, 257,920.29 and 102,015.66

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Solution

The fourth proportional to 186,898.53, 257,920.29 and 102,015.66 is: 140,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,898.53 : 257,920.29 = 102,015.66 : x
  2. Step 2: Convert to fraction form
    186,898.53/257,920.29 = 102,015.66/x
  3. Step 3: Cross multiply
    186,898.53x = 257,920.29 × 102,015.66
  4. Step 4: Simplify right side
    186,898.53x = 26,311,908,611.74
  5. Step 5: Solve for x
    x = 26,311,908,611.74/186,898.53
  6. Step 6: Final answer
    x = 140,781.78

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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.