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Finding the Fourth Proportional to 145,403.40, 218,112.30 and 75,419.40

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Solution

The fourth proportional to 145,403.40, 218,112.30 and 75,419.40 is: 113,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,403.40 : 218,112.30 = 75,419.40 : x
  2. Step 2: Convert to fraction form
    145,403.40/218,112.30 = 75,419.40/x
  3. Step 3: Cross multiply
    145,403.40x = 218,112.30 × 75,419.40
  4. Step 4: Simplify right side
    145,403.40x = 16,449,898,798.62
  5. Step 5: Solve for x
    x = 16,449,898,798.62/145,403.40
  6. Step 6: Final answer
    x = 113,132.83

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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.