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Finding the Fourth Proportional to 237,617.60, 356,314.80 and 137,806.16

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Solution

The fourth proportional to 237,617.60, 356,314.80 and 137,806.16 is: 206,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,617.60 : 356,314.80 = 137,806.16 : x
  2. Step 2: Convert to fraction form
    237,617.60/356,314.80 = 137,806.16/x
  3. Step 3: Cross multiply
    237,617.60x = 356,314.80 × 137,806.16
  4. Step 4: Simplify right side
    237,617.60x = 49,102,374,339.17
  5. Step 5: Solve for x
    x = 49,102,374,339.17/237,617.60
  6. Step 6: Final answer
    x = 206,644.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.