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Finding the Fourth Proportional to 153,205.56, 229,814.42 and 53,375.90

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Solution

The fourth proportional to 153,205.56, 229,814.42 and 53,375.90 is: 80,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,205.56 : 229,814.42 = 53,375.90 : x
  2. Step 2: Convert to fraction form
    153,205.56/229,814.42 = 53,375.90/x
  3. Step 3: Cross multiply
    153,205.56x = 229,814.42 × 53,375.90
  4. Step 4: Simplify right side
    153,205.56x = 12,266,550,084.53
  5. Step 5: Solve for x
    x = 12,266,550,084.53/153,205.56
  6. Step 6: Final answer
    x = 80,065.96

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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.