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Finding the Fourth Proportional to 295,274.80, 442,825.80 and 105,713.20

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Solution

The fourth proportional to 295,274.80, 442,825.80 and 105,713.20 is: 158,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,274.80 : 442,825.80 = 105,713.20 : x
  2. Step 2: Convert to fraction form
    295,274.80/442,825.80 = 105,713.20/x
  3. Step 3: Cross multiply
    295,274.80x = 442,825.80 × 105,713.20
  4. Step 4: Simplify right side
    295,274.80x = 46,812,532,360.56
  5. Step 5: Solve for x
    x = 46,812,532,360.56/295,274.80
  6. Step 6: Final answer
    x = 158,538.87

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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.