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Finding the Fourth Proportional to 145,532.96, 218,416.35 and 75,432.32

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Solution

The fourth proportional to 145,532.96, 218,416.35 and 75,432.32 is: 113,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,532.96 : 218,416.35 = 75,432.32 : x
  2. Step 2: Convert to fraction form
    145,532.96/218,416.35 = 75,432.32/x
  3. Step 3: Cross multiply
    145,532.96x = 218,416.35 × 75,432.32
  4. Step 4: Simplify right side
    145,532.96x = 16,475,652,006.43
  5. Step 5: Solve for x
    x = 16,475,652,006.43/145,532.96
  6. Step 6: Final answer
    x = 113,209.08

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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.