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Finding the Fourth Proportional to 162,754.80, 243,743.40 and 99,769.20

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Solution

The fourth proportional to 162,754.80, 243,743.40 and 99,769.20 is: 149,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,754.80 : 243,743.40 = 99,769.20 : x
  2. Step 2: Convert to fraction form
    162,754.80/243,743.40 = 99,769.20/x
  3. Step 3: Cross multiply
    162,754.80x = 243,743.40 × 99,769.20
  4. Step 4: Simplify right side
    162,754.80x = 24,318,084,023.28
  5. Step 5: Solve for x
    x = 24,318,084,023.28/162,754.80
  6. Step 6: Final answer
    x = 149,415.46

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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.