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Finding the Fourth Proportional to 295,172.57, 442,714.71 and 81,918

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Solution

The fourth proportional to 295,172.57, 442,714.71 and 81,918 is: 122,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,172.57 : 442,714.71 = 81,918 : x
  2. Step 2: Convert to fraction form
    295,172.57/442,714.71 = 81,918/x
  3. Step 3: Cross multiply
    295,172.57x = 442,714.71 × 81,918
  4. Step 4: Simplify right side
    295,172.57x = 36,266,303,613.78
  5. Step 5: Solve for x
    x = 36,266,303,613.78/295,172.57
  6. Step 6: Final answer
    x = 122,864.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.