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Finding the Fourth Proportional to 139,864, 209,829.22 and 46,369.76

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Solution

The fourth proportional to 139,864, 209,829.22 and 46,369.76 is: 69,565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,864 : 209,829.22 = 46,369.76 : x
  2. Step 2: Convert to fraction form
    139,864/209,829.22 = 46,369.76/x
  3. Step 3: Cross multiply
    139,864x = 209,829.22 × 46,369.76
  4. Step 4: Simplify right side
    139,864x = 9,729,730,572.39
  5. Step 5: Solve for x
    x = 9,729,730,572.39/139,864
  6. Step 6: Final answer
    x = 69,565.65

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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.