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Finding the Fourth Proportional to 173,822.40, 260,539.20 and 98,978.40

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Solution

The fourth proportional to 173,822.40, 260,539.20 and 98,978.40 is: 148,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,822.40 : 260,539.20 = 98,978.40 : x
  2. Step 2: Convert to fraction form
    173,822.40/260,539.20 = 98,978.40/x
  3. Step 3: Cross multiply
    173,822.40x = 260,539.20 × 98,978.40
  4. Step 4: Simplify right side
    173,822.40x = 25,787,753,153.28
  5. Step 5: Solve for x
    x = 25,787,753,153.28/173,822.40
  6. Step 6: Final answer
    x = 148,356.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.