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Finding the Fourth Proportional to 232,966.80, 349,498.80 and 133,045.20

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Solution

The fourth proportional to 232,966.80, 349,498.80 and 133,045.20 is: 199,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,966.80 : 349,498.80 = 133,045.20 : x
  2. Step 2: Convert to fraction form
    232,966.80/349,498.80 = 133,045.20/x
  3. Step 3: Cross multiply
    232,966.80x = 349,498.80 × 133,045.20
  4. Step 4: Simplify right side
    232,966.80x = 46,499,137,745.76
  5. Step 5: Solve for x
    x = 46,499,137,745.76/232,966.80
  6. Step 6: Final answer
    x = 199,595.56

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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.