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Finding the Fourth Proportional to 108,657.20, 163,423.20 and 97,284.80

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Solution

The fourth proportional to 108,657.20, 163,423.20 and 97,284.80 is: 146,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,657.20 : 163,423.20 = 97,284.80 : x
  2. Step 2: Convert to fraction form
    108,657.20/163,423.20 = 97,284.80/x
  3. Step 3: Cross multiply
    108,657.20x = 163,423.20 × 97,284.80
  4. Step 4: Simplify right side
    108,657.20x = 15,898,593,327.36
  5. Step 5: Solve for x
    x = 15,898,593,327.36/108,657.20
  6. Step 6: Final answer
    x = 146,318.82

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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.