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Finding the Fourth Proportional to 99,889.80, 137,848.14 and 54,568.14

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Solution

The fourth proportional to 99,889.80, 137,848.14 and 54,568.14 is: 75,304.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,889.80 : 137,848.14 = 54,568.14 : x
  2. Step 2: Convert to fraction form
    99,889.80/137,848.14 = 54,568.14/x
  3. Step 3: Cross multiply
    99,889.80x = 137,848.14 × 54,568.14
  4. Step 4: Simplify right side
    99,889.80x = 7,522,116,602.26
  5. Step 5: Solve for x
    x = 7,522,116,602.26/99,889.80
  6. Step 6: Final answer
    x = 75,304.15

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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.