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Finding the Fourth Proportional to 140,707.76, 194,174.78 and 77,045.56

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Solution

The fourth proportional to 140,707.76, 194,174.78 and 77,045.56 is: 106,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,707.76 : 194,174.78 = 77,045.56 : x
  2. Step 2: Convert to fraction form
    140,707.76/194,174.78 = 77,045.56/x
  3. Step 3: Cross multiply
    140,707.76x = 194,174.78 × 77,045.56
  4. Step 4: Simplify right side
    140,707.76x = 14,960,303,792.31
  5. Step 5: Solve for x
    x = 14,960,303,792.31/140,707.76
  6. Step 6: Final answer
    x = 106,321.81

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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.