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Finding the Fourth Proportional to 230,714.33, 318,407.63 and 140,049.41

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Solution

The fourth proportional to 230,714.33, 318,407.63 and 140,049.41 is: 193,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,714.33 : 318,407.63 = 140,049.41 : x
  2. Step 2: Convert to fraction form
    230,714.33/318,407.63 = 140,049.41/x
  3. Step 3: Cross multiply
    230,714.33x = 318,407.63 × 140,049.41
  4. Step 4: Simplify right side
    230,714.33x = 44,592,798,428.71
  5. Step 5: Solve for x
    x = 44,592,798,428.71/230,714.33
  6. Step 6: Final answer
    x = 193,281.45

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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.