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Finding the Fourth Proportional to 98,016, 135,264.96 and 53,306.88

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Solution

The fourth proportional to 98,016, 135,264.96 and 53,306.88 is: 73,565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,016 : 135,264.96 = 53,306.88 : x
  2. Step 2: Convert to fraction form
    98,016/135,264.96 = 53,306.88/x
  3. Step 3: Cross multiply
    98,016x = 135,264.96 × 53,306.88
  4. Step 4: Simplify right side
    98,016x = 7,210,552,990.92
  5. Step 5: Solve for x
    x = 7,210,552,990.92/98,016
  6. Step 6: Final answer
    x = 73,565.06

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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.