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Finding the Fourth Proportional to 136,565.19, 204,840.50 and 52,365.69

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Solution

The fourth proportional to 136,565.19, 204,840.50 and 52,365.69 is: 78,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,565.19 : 204,840.50 = 52,365.69 : x
  2. Step 2: Convert to fraction form
    136,565.19/204,840.50 = 52,365.69/x
  3. Step 3: Cross multiply
    136,565.19x = 204,840.50 × 52,365.69
  4. Step 4: Simplify right side
    136,565.19x = 10,726,613,860.62
  5. Step 5: Solve for x
    x = 10,726,613,860.62/136,565.19
  6. Step 6: Final answer
    x = 78,545.74

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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.