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Finding the Fourth Proportional to 230,862, 318,769.90 and 177,061.80

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Solution

The fourth proportional to 230,862, 318,769.90 and 177,061.80 is: 244,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,862 : 318,769.90 = 177,061.80 : x
  2. Step 2: Convert to fraction form
    230,862/318,769.90 = 177,061.80/x
  3. Step 3: Cross multiply
    230,862x = 318,769.90 × 177,061.80
  4. Step 4: Simplify right side
    230,862x = 56,441,972,279.82
  5. Step 5: Solve for x
    x = 56,441,972,279.82/230,862
  6. Step 6: Final answer
    x = 244,483.60

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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.