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Finding the Fourth Proportional to 295,456.80, 443,098.80 and 105,895.20

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Solution

The fourth proportional to 295,456.80, 443,098.80 and 105,895.20 is: 158,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,456.80 : 443,098.80 = 105,895.20 : x
  2. Step 2: Convert to fraction form
    295,456.80/443,098.80 = 105,895.20/x
  3. Step 3: Cross multiply
    295,456.80x = 443,098.80 × 105,895.20
  4. Step 4: Simplify right side
    295,456.80x = 46,922,036,045.76
  5. Step 5: Solve for x
    x = 46,922,036,045.76/295,456.80
  6. Step 6: Final answer
    x = 158,811.83

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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.