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Finding the Fourth Proportional to 182,159.80, 272,802.30 and 147,167.80

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Solution

The fourth proportional to 182,159.80, 272,802.30 and 147,167.80 is: 220,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,159.80 : 272,802.30 = 147,167.80 : x
  2. Step 2: Convert to fraction form
    182,159.80/272,802.30 = 147,167.80/x
  3. Step 3: Cross multiply
    182,159.80x = 272,802.30 × 147,167.80
  4. Step 4: Simplify right side
    182,159.80x = 40,147,714,325.94
  5. Step 5: Solve for x
    x = 40,147,714,325.94/182,159.80
  6. Step 6: Final answer
    x = 220,398.32

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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.