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Finding the Fourth Proportional to 137,066.13, 205,597.17 and 37,228.50

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Solution

The fourth proportional to 137,066.13, 205,597.17 and 37,228.50 is: 55,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,066.13 : 205,597.17 = 37,228.50 : x
  2. Step 2: Convert to fraction form
    137,066.13/205,597.17 = 37,228.50/x
  3. Step 3: Cross multiply
    137,066.13x = 205,597.17 × 37,228.50
  4. Step 4: Simplify right side
    137,066.13x = 7,654,074,243.35
  5. Step 5: Solve for x
    x = 7,654,074,243.35/137,066.13
  6. Step 6: Final answer
    x = 55,842.20

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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.