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Finding the Fourth Proportional to 237,969.68, 356,952.72 and 78,156.53

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Solution

The fourth proportional to 237,969.68, 356,952.72 and 78,156.53 is: 117,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,969.68 : 356,952.72 = 78,156.53 : x
  2. Step 2: Convert to fraction form
    237,969.68/356,952.72 = 78,156.53/x
  3. Step 3: Cross multiply
    237,969.68x = 356,952.72 × 78,156.53
  4. Step 4: Simplify right side
    237,969.68x = 27,898,186,861.64
  5. Step 5: Solve for x
    x = 27,898,186,861.64/237,969.68
  6. Step 6: Final answer
    x = 117,234.21

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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.