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Finding the Fourth Proportional to 129,200.45, 193,828.62 and 39,235.77

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Solution

The fourth proportional to 129,200.45, 193,828.62 and 39,235.77 is: 58,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,200.45 : 193,828.62 = 39,235.77 : x
  2. Step 2: Convert to fraction form
    129,200.45/193,828.62 = 39,235.77/x
  3. Step 3: Cross multiply
    129,200.45x = 193,828.62 × 39,235.77
  4. Step 4: Simplify right side
    129,200.45x = 7,605,015,153.74
  5. Step 5: Solve for x
    x = 7,605,015,153.74/129,200.45
  6. Step 6: Final answer
    x = 58,862.14

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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.