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Finding the Fourth Proportional to 111,543.60, 167,315.40 and 106,705.20

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Solution

The fourth proportional to 111,543.60, 167,315.40 and 106,705.20 is: 160,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,543.60 : 167,315.40 = 106,705.20 : x
  2. Step 2: Convert to fraction form
    111,543.60/167,315.40 = 106,705.20/x
  3. Step 3: Cross multiply
    111,543.60x = 167,315.40 × 106,705.20
  4. Step 4: Simplify right side
    111,543.60x = 17,853,423,220.08
  5. Step 5: Solve for x
    x = 17,853,423,220.08/111,543.60
  6. Step 6: Final answer
    x = 160,057.80

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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.