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Finding the Fourth Proportional to 142,718.32, 214,077.48 and 59,554

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Solution

The fourth proportional to 142,718.32, 214,077.48 and 59,554 is: 89,331

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,718.32 : 214,077.48 = 59,554 : x
  2. Step 2: Convert to fraction form
    142,718.32/214,077.48 = 59,554/x
  3. Step 3: Cross multiply
    142,718.32x = 214,077.48 × 59,554
  4. Step 4: Simplify right side
    142,718.32x = 12,749,170,243.92
  5. Step 5: Solve for x
    x = 12,749,170,243.92/142,718.32
  6. Step 6: Final answer
    x = 89,331

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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.