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Finding the Fourth Proportional to 97,700.80, 146,551.20 and 87,851.20

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Solution

The fourth proportional to 97,700.80, 146,551.20 and 87,851.20 is: 131,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,700.80 : 146,551.20 = 87,851.20 : x
  2. Step 2: Convert to fraction form
    97,700.80/146,551.20 = 87,851.20/x
  3. Step 3: Cross multiply
    97,700.80x = 146,551.20 × 87,851.20
  4. Step 4: Simplify right side
    97,700.80x = 12,874,698,781.44
  5. Step 5: Solve for x
    x = 12,874,698,781.44/97,700.80
  6. Step 6: Final answer
    x = 131,776.80

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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.