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Finding the Fourth Proportional to 145,838.50, 218,758.66 and 40,658.38

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Solution

The fourth proportional to 145,838.50, 218,758.66 and 40,658.38 is: 60,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,838.50 : 218,758.66 = 40,658.38 : x
  2. Step 2: Convert to fraction form
    145,838.50/218,758.66 = 40,658.38/x
  3. Step 3: Cross multiply
    145,838.50x = 218,758.66 × 40,658.38
  4. Step 4: Simplify right side
    145,838.50x = 8,894,372,726.57
  5. Step 5: Solve for x
    x = 8,894,372,726.57/145,838.50
  6. Step 6: Final answer
    x = 60,987.82

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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.