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Finding the Fourth Proportional to 142,778.10, 214,167.15 and 72,794.10

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Solution

The fourth proportional to 142,778.10, 214,167.15 and 72,794.10 is: 109,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,778.10 : 214,167.15 = 72,794.10 : x
  2. Step 2: Convert to fraction form
    142,778.10/214,167.15 = 72,794.10/x
  3. Step 3: Cross multiply
    142,778.10x = 214,167.15 × 72,794.10
  4. Step 4: Simplify right side
    142,778.10x = 15,590,104,933.82
  5. Step 5: Solve for x
    x = 15,590,104,933.82/142,778.10
  6. Step 6: Final answer
    x = 109,191.15

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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.