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Finding the Fourth Proportional to 237,602.57, 356,374.11 and 77,665.12

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Solution

The fourth proportional to 237,602.57, 356,374.11 and 77,665.12 is: 116,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,602.57 : 356,374.11 = 77,665.12 : x
  2. Step 2: Convert to fraction form
    237,602.57/356,374.11 = 77,665.12/x
  3. Step 3: Cross multiply
    237,602.57x = 356,374.11 × 77,665.12
  4. Step 4: Simplify right side
    237,602.57x = 27,677,837,572.58
  5. Step 5: Solve for x
    x = 27,677,837,572.58/237,602.57
  6. Step 6: Final answer
    x = 116,487.96

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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.