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Finding the Fourth Proportional to 142,480.86, 214,109.01 and 75,967.98

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Solution

The fourth proportional to 142,480.86, 214,109.01 and 75,967.98 is: 114,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,480.86 : 214,109.01 = 75,967.98 : x
  2. Step 2: Convert to fraction form
    142,480.86/214,109.01 = 75,967.98/x
  3. Step 3: Cross multiply
    142,480.86x = 214,109.01 × 75,967.98
  4. Step 4: Simplify right side
    142,480.86x = 16,265,428,989.50
  5. Step 5: Solve for x
    x = 16,265,428,989.50/142,480.86
  6. Step 6: Final answer
    x = 114,158.69

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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.