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Finding the Fourth Proportional to 277,387.61, 416,100.05 and 97,451.16

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Solution

The fourth proportional to 277,387.61, 416,100.05 and 97,451.16 is: 146,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,387.61 : 416,100.05 = 97,451.16 : x
  2. Step 2: Convert to fraction form
    277,387.61/416,100.05 = 97,451.16/x
  3. Step 3: Cross multiply
    277,387.61x = 416,100.05 × 97,451.16
  4. Step 4: Simplify right side
    277,387.61x = 40,549,432,548.56
  5. Step 5: Solve for x
    x = 40,549,432,548.56/277,387.61
  6. Step 6: Final answer
    x = 146,183.29

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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.