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Finding the Fourth Proportional to 178,447.97, 246,258.56 and 97,876.16

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Solution

The fourth proportional to 178,447.97, 246,258.56 and 97,876.16 is: 135,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,447.97 : 246,258.56 = 97,876.16 : x
  2. Step 2: Convert to fraction form
    178,447.97/246,258.56 = 97,876.16/x
  3. Step 3: Cross multiply
    178,447.97x = 246,258.56 × 97,876.16
  4. Step 4: Simplify right side
    178,447.97x = 24,102,842,219.93
  5. Step 5: Solve for x
    x = 24,102,842,219.93/178,447.97
  6. Step 6: Final answer
    x = 135,069.30

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1.5x scale

Why These Related Problems?

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