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Finding the Fourth Proportional to 173,981.40, 260,972.10 and 49,323.48

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Solution

The fourth proportional to 173,981.40, 260,972.10 and 49,323.48 is: 73,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,981.40 : 260,972.10 = 49,323.48 : x
  2. Step 2: Convert to fraction form
    173,981.40/260,972.10 = 49,323.48/x
  3. Step 3: Cross multiply
    173,981.40x = 260,972.10 × 49,323.48
  4. Step 4: Simplify right side
    173,981.40x = 12,872,052,154.91
  5. Step 5: Solve for x
    x = 12,872,052,154.91/173,981.40
  6. Step 6: Final answer
    x = 73,985.22

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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.