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Finding the Fourth Proportional to 140,858.44, 194,386.18 and 77,194.88

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Solution

The fourth proportional to 140,858.44, 194,386.18 and 77,194.88 is: 106,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,858.44 : 194,386.18 = 77,194.88 : x
  2. Step 2: Convert to fraction form
    140,858.44/194,386.18 = 77,194.88/x
  3. Step 3: Cross multiply
    140,858.44x = 194,386.18 × 77,194.88
  4. Step 4: Simplify right side
    140,858.44x = 15,005,617,838.76
  5. Step 5: Solve for x
    x = 15,005,617,838.76/140,858.44
  6. Step 6: Final answer
    x = 106,529.77

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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.