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Finding the Fourth Proportional to 342,229.21, 513,304.59 and 89,534.08

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Solution

The fourth proportional to 342,229.21, 513,304.59 and 89,534.08 is: 134,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,229.21 : 513,304.59 = 89,534.08 : x
  2. Step 2: Convert to fraction form
    342,229.21/513,304.59 = 89,534.08/x
  3. Step 3: Cross multiply
    342,229.21x = 513,304.59 × 89,534.08
  4. Step 4: Simplify right side
    342,229.21x = 45,958,254,225.43
  5. Step 5: Solve for x
    x = 45,958,254,225.43/342,229.21
  6. Step 6: Final answer
    x = 134,290.86

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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.