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Finding the Fourth Proportional to 242,304.31, 363,456.39 and 64,806.73

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Solution

The fourth proportional to 242,304.31, 363,456.39 and 64,806.73 is: 97,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,304.31 : 363,456.39 = 64,806.73 : x
  2. Step 2: Convert to fraction form
    242,304.31/363,456.39 = 64,806.73/x
  3. Step 3: Cross multiply
    242,304.31x = 363,456.39 × 64,806.73
  4. Step 4: Simplify right side
    242,304.31x = 23,554,420,133.50
  5. Step 5: Solve for x
    x = 23,554,420,133.50/242,304.31
  6. Step 6: Final answer
    x = 97,210.07

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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.