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Finding the Fourth Proportional to 110,408, 152,363.16 and 60,107.12

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Solution

The fourth proportional to 110,408, 152,363.16 and 60,107.12 is: 82,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,408 : 152,363.16 = 60,107.12 : x
  2. Step 2: Convert to fraction form
    110,408/152,363.16 = 60,107.12/x
  3. Step 3: Cross multiply
    110,408x = 152,363.16 × 60,107.12
  4. Step 4: Simplify right side
    110,408x = 9,158,110,741.70
  5. Step 5: Solve for x
    x = 9,158,110,741.70/110,408
  6. Step 6: Final answer
    x = 82,947.89

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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.