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Finding the Fourth Proportional to 127,505.50, 191,280.12 and 38,767.98

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Solution

The fourth proportional to 127,505.50, 191,280.12 and 38,767.98 is: 58,158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,505.50 : 191,280.12 = 38,767.98 : x
  2. Step 2: Convert to fraction form
    127,505.50/191,280.12 = 38,767.98/x
  3. Step 3: Cross multiply
    127,505.50x = 191,280.12 × 38,767.98
  4. Step 4: Simplify right side
    127,505.50x = 7,415,543,866.56
  5. Step 5: Solve for x
    x = 7,415,543,866.56/127,505.50
  6. Step 6: Final answer
    x = 58,158.62

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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.