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Finding the Fourth Proportional to 281,085.48, 421,657.80 and 91,560.66

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Solution

The fourth proportional to 281,085.48, 421,657.80 and 91,560.66 is: 137,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,085.48 : 421,657.80 = 91,560.66 : x
  2. Step 2: Convert to fraction form
    281,085.48/421,657.80 = 91,560.66/x
  3. Step 3: Cross multiply
    281,085.48x = 421,657.80 × 91,560.66
  4. Step 4: Simplify right side
    281,085.48x = 38,607,266,462.15
  5. Step 5: Solve for x
    x = 38,607,266,462.15/281,085.48
  6. Step 6: Final answer
    x = 137,350.63

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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.