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Finding the Fourth Proportional to 153,403.20, 229,978.98 and 69,138.09

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Solution

The fourth proportional to 153,403.20, 229,978.98 and 69,138.09 is: 103,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,403.20 : 229,978.98 = 69,138.09 : x
  2. Step 2: Convert to fraction form
    153,403.20/229,978.98 = 69,138.09/x
  3. Step 3: Cross multiply
    153,403.20x = 229,978.98 × 69,138.09
  4. Step 4: Simplify right side
    153,403.20x = 15,900,307,417.35
  5. Step 5: Solve for x
    x = 15,900,307,417.35/153,403.20
  6. Step 6: Final answer
    x = 103,650.43

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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.