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Finding the Fourth Proportional to 288,115.90, 432,141.50 and 110,498.30

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Solution

The fourth proportional to 288,115.90, 432,141.50 and 110,498.30 is: 165,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,115.90 : 432,141.50 = 110,498.30 : x
  2. Step 2: Convert to fraction form
    288,115.90/432,141.50 = 110,498.30/x
  3. Step 3: Cross multiply
    288,115.90x = 432,141.50 × 110,498.30
  4. Step 4: Simplify right side
    288,115.90x = 47,750,901,109.45
  5. Step 5: Solve for x
    x = 47,750,901,109.45/288,115.90
  6. Step 6: Final answer
    x = 165,735.04

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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.