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Finding the Fourth Proportional to 243,281.48, 364,979.12 and 83,359.13

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Solution

The fourth proportional to 243,281.48, 364,979.12 and 83,359.13 is: 125,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,281.48 : 364,979.12 = 83,359.13 : x
  2. Step 2: Convert to fraction form
    243,281.48/364,979.12 = 83,359.13/x
  3. Step 3: Cross multiply
    243,281.48x = 364,979.12 × 83,359.13
  4. Step 4: Simplify right side
    243,281.48x = 30,424,339,669.67
  5. Step 5: Solve for x
    x = 30,424,339,669.67/243,281.48
  6. Step 6: Final answer
    x = 125,058.18

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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.