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Finding the Fourth Proportional to 121,412.30, 182,118.45 and 38,306.30

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Solution

The fourth proportional to 121,412.30, 182,118.45 and 38,306.30 is: 57,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,412.30 : 182,118.45 = 38,306.30 : x
  2. Step 2: Convert to fraction form
    121,412.30/182,118.45 = 38,306.30/x
  3. Step 3: Cross multiply
    121,412.30x = 182,118.45 × 38,306.30
  4. Step 4: Simplify right side
    121,412.30x = 6,976,283,981.24
  5. Step 5: Solve for x
    x = 6,976,283,981.24/121,412.30
  6. Step 6: Final answer
    x = 57,459.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.