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Finding the Fourth Proportional to 288,113.90, 432,138.50 and 110,496.30

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Solution

The fourth proportional to 288,113.90, 432,138.50 and 110,496.30 is: 165,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,113.90 : 432,138.50 = 110,496.30 : x
  2. Step 2: Convert to fraction form
    288,113.90/432,138.50 = 110,496.30/x
  3. Step 3: Cross multiply
    288,113.90x = 432,138.50 × 110,496.30
  4. Step 4: Simplify right side
    288,113.90x = 47,749,705,337.55
  5. Step 5: Solve for x
    x = 47,749,705,337.55/288,113.90
  6. Step 6: Final answer
    x = 165,732.04

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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.