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Finding the Fourth Proportional to 140,999.90, 194,587 and 77,343.62

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Solution

The fourth proportional to 140,999.90, 194,587 and 77,343.62 is: 106,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,999.90 : 194,587 = 77,343.62 : x
  2. Step 2: Convert to fraction form
    140,999.90/194,587 = 77,343.62/x
  3. Step 3: Cross multiply
    140,999.90x = 194,587 × 77,343.62
  4. Step 4: Simplify right side
    140,999.90x = 15,050,062,984.94
  5. Step 5: Solve for x
    x = 15,050,062,984.94/140,999.90
  6. Step 6: Final answer
    x = 106,738.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.