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Finding the Fourth Proportional to 231,830.80, 347,746.20 and 74,064.40

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Solution

The fourth proportional to 231,830.80, 347,746.20 and 74,064.40 is: 111,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,830.80 : 347,746.20 = 74,064.40 : x
  2. Step 2: Convert to fraction form
    231,830.80/347,746.20 = 74,064.40/x
  3. Step 3: Cross multiply
    231,830.80x = 347,746.20 × 74,064.40
  4. Step 4: Simplify right side
    231,830.80x = 25,755,613,655.28
  5. Step 5: Solve for x
    x = 25,755,613,655.28/231,830.80
  6. Step 6: Final answer
    x = 111,096.60

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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.