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Finding the Fourth Proportional to 137,235.20, 205,862.40 and 58,340.48

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Solution

The fourth proportional to 137,235.20, 205,862.40 and 58,340.48 is: 87,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,235.20 : 205,862.40 = 58,340.48 : x
  2. Step 2: Convert to fraction form
    137,235.20/205,862.40 = 58,340.48/x
  3. Step 3: Cross multiply
    137,235.20x = 205,862.40 × 58,340.48
  4. Step 4: Simplify right side
    137,235.20x = 12,010,111,229.95
  5. Step 5: Solve for x
    x = 12,010,111,229.95/137,235.20
  6. Step 6: Final answer
    x = 87,514.80

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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.