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Finding the Fourth Proportional to 230,101.61, 317,638.20 and 154,693.85

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Solution

The fourth proportional to 230,101.61, 317,638.20 and 154,693.85 is: 213,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,101.61 : 317,638.20 = 154,693.85 : x
  2. Step 2: Convert to fraction form
    230,101.61/317,638.20 = 154,693.85/x
  3. Step 3: Cross multiply
    230,101.61x = 317,638.20 × 154,693.85
  4. Step 4: Simplify right side
    230,101.61x = 49,136,674,476.88
  5. Step 5: Solve for x
    x = 49,136,674,476.88/230,101.61
  6. Step 6: Final answer
    x = 213,543.38

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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.