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Finding the Fourth Proportional to 97,851.80, 146,777.70 and 64,026.20

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Solution

The fourth proportional to 97,851.80, 146,777.70 and 64,026.20 is: 96,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,851.80 : 146,777.70 = 64,026.20 : x
  2. Step 2: Convert to fraction form
    97,851.80/146,777.70 = 64,026.20/x
  3. Step 3: Cross multiply
    97,851.80x = 146,777.70 × 64,026.20
  4. Step 4: Simplify right side
    97,851.80x = 9,397,618,375.74
  5. Step 5: Solve for x
    x = 9,397,618,375.74/97,851.80
  6. Step 6: Final answer
    x = 96,039.30

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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.