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Finding the Fourth Proportional to 186,758.87, 257,970.32 and 151,083.43

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Solution

The fourth proportional to 186,758.87, 257,970.32 and 151,083.43 is: 208,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,758.87 : 257,970.32 = 151,083.43 : x
  2. Step 2: Convert to fraction form
    186,758.87/257,970.32 = 151,083.43/x
  3. Step 3: Cross multiply
    186,758.87x = 257,970.32 × 151,083.43
  4. Step 4: Simplify right side
    186,758.87x = 38,975,039,950.02
  5. Step 5: Solve for x
    x = 38,975,039,950.02/186,758.87
  6. Step 6: Final answer
    x = 208,691.78

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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.