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Finding the Fourth Proportional to 202,040.76, 278,877.42 and 117,178.68

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Solution

The fourth proportional to 202,040.76, 278,877.42 and 117,178.68 is: 161,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,040.76 : 278,877.42 = 117,178.68 : x
  2. Step 2: Convert to fraction form
    202,040.76/278,877.42 = 117,178.68/x
  3. Step 3: Cross multiply
    202,040.76x = 278,877.42 × 117,178.68
  4. Step 4: Simplify right side
    202,040.76x = 32,678,487,957.41
  5. Step 5: Solve for x
    x = 32,678,487,957.41/202,040.76
  6. Step 6: Final answer
    x = 161,742.06

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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.