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Finding the Fourth Proportional to 140,999.84, 194,580.08 and 77,338.16

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Solution

The fourth proportional to 140,999.84, 194,580.08 and 77,338.16 is: 106,726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,999.84 : 194,580.08 = 77,338.16 : x
  2. Step 2: Convert to fraction form
    140,999.84/194,580.08 = 77,338.16/x
  3. Step 3: Cross multiply
    140,999.84x = 194,580.08 × 77,338.16
  4. Step 4: Simplify right side
    140,999.84x = 15,048,465,359.85
  5. Step 5: Solve for x
    x = 15,048,465,359.85/140,999.84
  6. Step 6: Final answer
    x = 106,726.83

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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.