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Finding the Fourth Proportional to 102,306.85, 153,459.87 and 46,081.11

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Solution

The fourth proportional to 102,306.85, 153,459.87 and 46,081.11 is: 69,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,306.85 : 153,459.87 = 46,081.11 : x
  2. Step 2: Convert to fraction form
    102,306.85/153,459.87 = 46,081.11/x
  3. Step 3: Cross multiply
    102,306.85x = 153,459.87 × 46,081.11
  4. Step 4: Simplify right side
    102,306.85x = 7,071,601,150.06
  5. Step 5: Solve for x
    x = 7,071,601,150.06/102,306.85
  6. Step 6: Final answer
    x = 69,121.48

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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.