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Finding the Fourth Proportional to 110,542.16, 152,599.40 and 65,204.88

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Solution

The fourth proportional to 110,542.16, 152,599.40 and 65,204.88 is: 90,012.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,542.16 : 152,599.40 = 65,204.88 : x
  2. Step 2: Convert to fraction form
    110,542.16/152,599.40 = 65,204.88/x
  3. Step 3: Cross multiply
    110,542.16x = 152,599.40 × 65,204.88
  4. Step 4: Simplify right side
    110,542.16x = 9,950,225,565.07
  5. Step 5: Solve for x
    x = 9,950,225,565.07/110,542.16
  6. Step 6: Final answer
    x = 90,012.95

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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.