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Finding the Fourth Proportional to 295,430.76, 443,266.38 and 137,562.12

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Solution

The fourth proportional to 295,430.76, 443,266.38 and 137,562.12 is: 206,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,430.76 : 443,266.38 = 137,562.12 : x
  2. Step 2: Convert to fraction form
    295,430.76/443,266.38 = 137,562.12/x
  3. Step 3: Cross multiply
    295,430.76x = 443,266.38 × 137,562.12
  4. Step 4: Simplify right side
    295,430.76x = 60,976,662,957.53
  5. Step 5: Solve for x
    x = 60,976,662,957.53/295,430.76
  6. Step 6: Final answer
    x = 206,399.17

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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.