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Finding the Fourth Proportional to 253,461.62, 349,753.30 and 151,466.78

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Solution

The fourth proportional to 253,461.62, 349,753.30 and 151,466.78 is: 209,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,461.62 : 349,753.30 = 151,466.78 : x
  2. Step 2: Convert to fraction form
    253,461.62/349,753.30 = 151,466.78/x
  3. Step 3: Cross multiply
    253,461.62x = 349,753.30 × 151,466.78
  4. Step 4: Simplify right side
    253,461.62x = 52,976,006,641.09
  5. Step 5: Solve for x
    x = 52,976,006,641.09/253,461.62
  6. Step 6: Final answer
    x = 209,009.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.