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Finding the Fourth Proportional to 178,164.04, 267,258.54 and 71,548

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Solution

The fourth proportional to 178,164.04, 267,258.54 and 71,548 is: 107,327.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,164.04 : 267,258.54 = 71,548 : x
  2. Step 2: Convert to fraction form
    178,164.04/267,258.54 = 71,548/x
  3. Step 3: Cross multiply
    178,164.04x = 267,258.54 × 71,548
  4. Step 4: Simplify right side
    178,164.04x = 19,121,814,019.92
  5. Step 5: Solve for x
    x = 19,121,814,019.92/178,164.04
  6. Step 6: Final answer
    x = 107,327.01

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Why These Related Problems?

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