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Finding the Fourth Proportional to 272,785.84, 409,178.84 and 83,247.24

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Solution

The fourth proportional to 272,785.84, 409,178.84 and 83,247.24 is: 124,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,785.84 : 409,178.84 = 83,247.24 : x
  2. Step 2: Convert to fraction form
    272,785.84/409,178.84 = 83,247.24/x
  3. Step 3: Cross multiply
    272,785.84x = 409,178.84 × 83,247.24
  4. Step 4: Simplify right side
    272,785.84x = 34,063,009,096.40
  5. Step 5: Solve for x
    x = 34,063,009,096.40/272,785.84
  6. Step 6: Final answer
    x = 124,870.88

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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.