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Finding the Fourth Proportional to 138,560.16, 191,212.94 and 74,897.96

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Solution

The fourth proportional to 138,560.16, 191,212.94 and 74,897.96 is: 103,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,560.16 : 191,212.94 = 74,897.96 : x
  2. Step 2: Convert to fraction form
    138,560.16/191,212.94 = 74,897.96/x
  3. Step 3: Cross multiply
    138,560.16x = 191,212.94 × 74,897.96
  4. Step 4: Simplify right side
    138,560.16x = 14,321,459,318.85
  5. Step 5: Solve for x
    x = 14,321,459,318.85/138,560.16
  6. Step 6: Final answer
    x = 103,359.14

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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.