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Finding the Fourth Proportional to 102,650.80, 153,976.20 and 97,839.40

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Solution

The fourth proportional to 102,650.80, 153,976.20 and 97,839.40 is: 146,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,650.80 : 153,976.20 = 97,839.40 : x
  2. Step 2: Convert to fraction form
    102,650.80/153,976.20 = 97,839.40/x
  3. Step 3: Cross multiply
    102,650.80x = 153,976.20 × 97,839.40
  4. Step 4: Simplify right side
    102,650.80x = 15,064,939,022.28
  5. Step 5: Solve for x
    x = 15,064,939,022.28/102,650.80
  6. Step 6: Final answer
    x = 146,759.10

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1.5x scale

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.