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Finding the Fourth Proportional to 294,613.74, 442,098.27 and 105,059.70

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Solution

The fourth proportional to 294,613.74, 442,098.27 and 105,059.70 is: 157,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,613.74 : 442,098.27 = 105,059.70 : x
  2. Step 2: Convert to fraction form
    294,613.74/442,098.27 = 105,059.70/x
  3. Step 3: Cross multiply
    294,613.74x = 442,098.27 × 105,059.70
  4. Step 4: Simplify right side
    294,613.74x = 46,446,711,616.72
  5. Step 5: Solve for x
    x = 46,446,711,616.72/294,613.74
  6. Step 6: Final answer
    x = 157,652.90

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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.