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Finding the Fourth Proportional to 295,711.76, 443,743.32 and 108,854.48

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Solution

The fourth proportional to 295,711.76, 443,743.32 and 108,854.48 is: 163,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,711.76 : 443,743.32 = 108,854.48 : x
  2. Step 2: Convert to fraction form
    295,711.76/443,743.32 = 108,854.48/x
  3. Step 3: Cross multiply
    295,711.76x = 443,743.32 × 108,854.48
  4. Step 4: Simplify right side
    295,711.76x = 48,303,448,352.07
  5. Step 5: Solve for x
    x = 48,303,448,352.07/295,711.76
  6. Step 6: Final answer
    x = 163,346.39

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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.