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Finding the Fourth Proportional to 97,722.80, 146,875.80 and 84,892.40

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Solution

The fourth proportional to 97,722.80, 146,875.80 and 84,892.40 is: 127,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,722.80 : 146,875.80 = 84,892.40 : x
  2. Step 2: Convert to fraction form
    97,722.80/146,875.80 = 84,892.40/x
  3. Step 3: Cross multiply
    97,722.80x = 146,875.80 × 84,892.40
  4. Step 4: Simplify right side
    97,722.80x = 12,468,639,163.92
  5. Step 5: Solve for x
    x = 12,468,639,163.92/97,722.80
  6. Step 6: Final answer
    x = 127,591.91

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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.