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Finding the Fourth Proportional to 264,094.80, 396,055.80 and 97,861.20

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Solution

The fourth proportional to 264,094.80, 396,055.80 and 97,861.20 is: 146,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,094.80 : 396,055.80 = 97,861.20 : x
  2. Step 2: Convert to fraction form
    264,094.80/396,055.80 = 97,861.20/x
  3. Step 3: Cross multiply
    264,094.80x = 396,055.80 × 97,861.20
  4. Step 4: Simplify right side
    264,094.80x = 38,758,495,854.96
  5. Step 5: Solve for x
    x = 38,758,495,854.96/264,094.80
  6. Step 6: Final answer
    x = 146,759.78

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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.