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Finding the Fourth Proportional to 230,761.80, 346,178.34 and 97,642.80

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Solution

The fourth proportional to 230,761.80, 346,178.34 and 97,642.80 is: 146,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,761.80 : 346,178.34 = 97,642.80 : x
  2. Step 2: Convert to fraction form
    230,761.80/346,178.34 = 97,642.80/x
  3. Step 3: Cross multiply
    230,761.80x = 346,178.34 × 97,642.80
  4. Step 4: Simplify right side
    230,761.80x = 33,801,822,416.95
  5. Step 5: Solve for x
    x = 33,801,822,416.95/230,761.80
  6. Step 6: Final answer
    x = 146,479.28

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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.