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Finding the Fourth Proportional to 140,923.86, 194,474.88 and 77,260.32

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Solution

The fourth proportional to 140,923.86, 194,474.88 and 77,260.32 is: 106,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,923.86 : 194,474.88 = 77,260.32 : x
  2. Step 2: Convert to fraction form
    140,923.86/194,474.88 = 77,260.32/x
  3. Step 3: Cross multiply
    140,923.86x = 194,474.88 × 77,260.32
  4. Step 4: Simplify right side
    140,923.86x = 15,025,191,460.76
  5. Step 5: Solve for x
    x = 15,025,191,460.76/140,923.86
  6. Step 6: Final answer
    x = 106,619.22

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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.