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Finding the Fourth Proportional to 138,404.55, 190,998.91 and 77,976.12

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Solution

The fourth proportional to 138,404.55, 190,998.91 and 77,976.12 is: 107,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,404.55 : 190,998.91 = 77,976.12 : x
  2. Step 2: Convert to fraction form
    138,404.55/190,998.91 = 77,976.12/x
  3. Step 3: Cross multiply
    138,404.55x = 190,998.91 × 77,976.12
  4. Step 4: Simplify right side
    138,404.55x = 14,893,353,665.38
  5. Step 5: Solve for x
    x = 14,893,353,665.38/138,404.55
  6. Step 6: Final answer
    x = 107,607.40

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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.