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Finding the Fourth Proportional to 133,077.16, 199,626.54 and 39,583

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Solution

The fourth proportional to 133,077.16, 199,626.54 and 39,583 is: 59,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,077.16 : 199,626.54 = 39,583 : x
  2. Step 2: Convert to fraction form
    133,077.16/199,626.54 = 39,583/x
  3. Step 3: Cross multiply
    133,077.16x = 199,626.54 × 39,583
  4. Step 4: Simplify right side
    133,077.16x = 7,901,817,332.82
  5. Step 5: Solve for x
    x = 7,901,817,332.82/133,077.16
  6. Step 6: Final answer
    x = 59,377.71

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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.