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Finding the Fourth Proportional to 113,983.38, 157,150.88 and 78,111.12

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Solution

The fourth proportional to 113,983.38, 157,150.88 and 78,111.12 is: 107,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,983.38 : 157,150.88 = 78,111.12 : x
  2. Step 2: Convert to fraction form
    113,983.38/157,150.88 = 78,111.12/x
  3. Step 3: Cross multiply
    113,983.38x = 157,150.88 × 78,111.12
  4. Step 4: Simplify right side
    113,983.38x = 12,275,230,855.23
  5. Step 5: Solve for x
    x = 12,275,230,855.23/113,983.38
  6. Step 6: Final answer
    x = 107,693.16

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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.