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Finding the Fourth Proportional to 295,275.80, 442,827.30 and 105,714.20

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Solution

The fourth proportional to 295,275.80, 442,827.30 and 105,714.20 is: 158,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,275.80 : 442,827.30 = 105,714.20 : x
  2. Step 2: Convert to fraction form
    295,275.80/442,827.30 = 105,714.20/x
  3. Step 3: Cross multiply
    295,275.80x = 442,827.30 × 105,714.20
  4. Step 4: Simplify right side
    295,275.80x = 46,813,133,757.66
  5. Step 5: Solve for x
    x = 46,813,133,757.66/295,275.80
  6. Step 6: Final answer
    x = 158,540.37

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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.