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Finding the Fourth Proportional to 210,853.50, 316,204.10 and 84,522.66

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Solution

The fourth proportional to 210,853.50, 316,204.10 and 84,522.66 is: 126,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,853.50 : 316,204.10 = 84,522.66 : x
  2. Step 2: Convert to fraction form
    210,853.50/316,204.10 = 84,522.66/x
  3. Step 3: Cross multiply
    210,853.50x = 316,204.10 × 84,522.66
  4. Step 4: Simplify right side
    210,853.50x = 26,726,411,634.91
  5. Step 5: Solve for x
    x = 26,726,411,634.91/210,853.50
  6. Step 6: Final answer
    x = 126,753.46

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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.