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Finding the Fourth Proportional to 140,686.70, 194,147.55 and 77,024.48

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Solution

The fourth proportional to 140,686.70, 194,147.55 and 77,024.48 is: 106,293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,686.70 : 194,147.55 = 77,024.48 : x
  2. Step 2: Convert to fraction form
    140,686.70/194,147.55 = 77,024.48/x
  3. Step 3: Cross multiply
    140,686.70x = 194,147.55 × 77,024.48
  4. Step 4: Simplify right side
    140,686.70x = 14,954,113,111.29
  5. Step 5: Solve for x
    x = 14,954,113,111.29/140,686.70
  6. Step 6: Final answer
    x = 106,293.73

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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.