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Finding the Fourth Proportional to 102,295.40, 153,443.08 and 39,121.89

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Solution

The fourth proportional to 102,295.40, 153,443.08 and 39,121.89 is: 58,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,295.40 : 153,443.08 = 39,121.89 : x
  2. Step 2: Convert to fraction form
    102,295.40/153,443.08 = 39,121.89/x
  3. Step 3: Cross multiply
    102,295.40x = 153,443.08 × 39,121.89
  4. Step 4: Simplify right side
    102,295.40x = 6,002,983,297.02
  5. Step 5: Solve for x
    x = 6,002,983,297.02/102,295.40
  6. Step 6: Final answer
    x = 58,682.83

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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.