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Finding the Fourth Proportional to 295,045.76, 442,625.76 and 126,542.56

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Solution

The fourth proportional to 295,045.76, 442,625.76 and 126,542.56 is: 189,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,045.76 : 442,625.76 = 126,542.56 : x
  2. Step 2: Convert to fraction form
    295,045.76/442,625.76 = 126,542.56/x
  3. Step 3: Cross multiply
    295,045.76x = 442,625.76 × 126,542.56
  4. Step 4: Simplify right side
    295,045.76x = 56,010,996,792.35
  5. Step 5: Solve for x
    x = 56,010,996,792.35/295,045.76
  6. Step 6: Final answer
    x = 189,838.34

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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.