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Finding the Fourth Proportional to 296,995.86, 445,159.13 and 147,343.41

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Solution

The fourth proportional to 296,995.86, 445,159.13 and 147,343.41 is: 220,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,995.86 : 445,159.13 = 147,343.41 : x
  2. Step 2: Convert to fraction form
    296,995.86/445,159.13 = 147,343.41/x
  3. Step 3: Cross multiply
    296,995.86x = 445,159.13 × 147,343.41
  4. Step 4: Simplify right side
    296,995.86x = 65,591,263,470.12
  5. Step 5: Solve for x
    x = 65,591,263,470.12/296,995.86
  6. Step 6: Final answer
    x = 220,849.08

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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.