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Finding the Fourth Proportional to 102,543.20, 153,814.80 and 101,160.80

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Solution

The fourth proportional to 102,543.20, 153,814.80 and 101,160.80 is: 151,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,543.20 : 153,814.80 = 101,160.80 : x
  2. Step 2: Convert to fraction form
    102,543.20/153,814.80 = 101,160.80/x
  3. Step 3: Cross multiply
    102,543.20x = 153,814.80 × 101,160.80
  4. Step 4: Simplify right side
    102,543.20x = 15,560,028,219.84
  5. Step 5: Solve for x
    x = 15,560,028,219.84/102,543.20
  6. Step 6: Final answer
    x = 151,741.20

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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.