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Finding the Fourth Proportional to 294,151.71, 441,169.47 and 80,864.58

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Solution

The fourth proportional to 294,151.71, 441,169.47 and 80,864.58 is: 121,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,151.71 : 441,169.47 = 80,864.58 : x
  2. Step 2: Convert to fraction form
    294,151.71/441,169.47 = 80,864.58/x
  3. Step 3: Cross multiply
    294,151.71x = 441,169.47 × 80,864.58
  4. Step 4: Simplify right side
    294,151.71x = 35,674,985,554.76
  5. Step 5: Solve for x
    x = 35,674,985,554.76/294,151.71
  6. Step 6: Final answer
    x = 121,280.90

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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.