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Finding the Fourth Proportional to 140,673.78, 194,130.12 and 77,015.64

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Solution

The fourth proportional to 140,673.78, 194,130.12 and 77,015.64 is: 106,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,673.78 : 194,130.12 = 77,015.64 : x
  2. Step 2: Convert to fraction form
    140,673.78/194,130.12 = 77,015.64/x
  3. Step 3: Cross multiply
    140,673.78x = 194,130.12 × 77,015.64
  4. Step 4: Simplify right side
    140,673.78x = 14,951,055,435.08
  5. Step 5: Solve for x
    x = 14,951,055,435.08/140,673.78
  6. Step 6: Final answer
    x = 106,281.75

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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.