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Finding the Fourth Proportional to 342,231.71, 513,308.34 and 89,536.59

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Solution

The fourth proportional to 342,231.71, 513,308.34 and 89,536.59 is: 134,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,231.71 : 513,308.34 = 89,536.59 : x
  2. Step 2: Convert to fraction form
    342,231.71/513,308.34 = 89,536.59/x
  3. Step 3: Cross multiply
    342,231.71x = 513,308.34 × 89,536.59
  4. Step 4: Simplify right side
    342,231.71x = 45,959,875,367.94
  5. Step 5: Solve for x
    x = 45,959,875,367.94/342,231.71
  6. Step 6: Final answer
    x = 134,294.61

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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.