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Finding the Fourth Proportional to 140,751.88, 194,230.32 and 77,077.40

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Solution

The fourth proportional to 140,751.88, 194,230.32 and 77,077.40 is: 106,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,751.88 : 194,230.32 = 77,077.40 : x
  2. Step 2: Convert to fraction form
    140,751.88/194,230.32 = 77,077.40/x
  3. Step 3: Cross multiply
    140,751.88x = 194,230.32 × 77,077.40
  4. Step 4: Simplify right side
    140,751.88x = 14,970,768,066.77
  5. Step 5: Solve for x
    x = 14,970,768,066.77/140,751.88
  6. Step 6: Final answer
    x = 106,362.83

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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.