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Finding the Fourth Proportional to 105,408.52, 157,859.42 and 60,293.16

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Solution

The fourth proportional to 105,408.52, 157,859.42 and 60,293.16 is: 90,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,408.52 : 157,859.42 = 60,293.16 : x
  2. Step 2: Convert to fraction form
    105,408.52/157,859.42 = 60,293.16/x
  3. Step 3: Cross multiply
    105,408.52x = 157,859.42 × 60,293.16
  4. Step 4: Simplify right side
    105,408.52x = 9,517,843,267.57
  5. Step 5: Solve for x
    x = 9,517,843,267.57/105,408.52
  6. Step 6: Final answer
    x = 90,294.82

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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.