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Finding the Fourth Proportional to 315,967.42, 473,951.04 and 126,513.10

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Solution

The fourth proportional to 315,967.42, 473,951.04 and 126,513.10 is: 189,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,967.42 : 473,951.04 = 126,513.10 : x
  2. Step 2: Convert to fraction form
    315,967.42/473,951.04 = 126,513.10/x
  3. Step 3: Cross multiply
    315,967.42x = 473,951.04 × 126,513.10
  4. Step 4: Simplify right side
    315,967.42x = 59,961,015,318.62
  5. Step 5: Solve for x
    x = 59,961,015,318.62/315,967.42
  6. Step 6: Final answer
    x = 189,769.61

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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.