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Finding the Fourth Proportional to 243,152.20, 364,475.66 and 101,074.66

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Solution

The fourth proportional to 243,152.20, 364,475.66 and 101,074.66 is: 151,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,152.20 : 364,475.66 = 101,074.66 : x
  2. Step 2: Convert to fraction form
    243,152.20/364,475.66 = 101,074.66/x
  3. Step 3: Cross multiply
    243,152.20x = 364,475.66 × 101,074.66
  4. Step 4: Simplify right side
    243,152.20x = 36,839,253,412.78
  5. Step 5: Solve for x
    x = 36,839,253,412.78/243,152.20
  6. Step 6: Final answer
    x = 151,506.97

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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.