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Finding the Fourth Proportional to 235,142.64, 324,497.77 and 127,714.46

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Solution

The fourth proportional to 235,142.64, 324,497.77 and 127,714.46 is: 176,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,142.64 : 324,497.77 = 127,714.46 : x
  2. Step 2: Convert to fraction form
    235,142.64/324,497.77 = 127,714.46/x
  3. Step 3: Cross multiply
    235,142.64x = 324,497.77 × 127,714.46
  4. Step 4: Simplify right side
    235,142.64x = 41,443,057,958.71
  5. Step 5: Solve for x
    x = 41,443,057,958.71/235,142.64
  6. Step 6: Final answer
    x = 176,246.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.