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Finding the Fourth Proportional to 140,754.60, 194,232.60 and 77,088.60

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Solution

The fourth proportional to 140,754.60, 194,232.60 and 77,088.60 is: 106,377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,754.60 : 194,232.60 = 77,088.60 : x
  2. Step 2: Convert to fraction form
    140,754.60/194,232.60 = 77,088.60/x
  3. Step 3: Cross multiply
    140,754.60x = 194,232.60 × 77,088.60
  4. Step 4: Simplify right side
    140,754.60x = 14,973,119,208.36
  5. Step 5: Solve for x
    x = 14,973,119,208.36/140,754.60
  6. Step 6: Final answer
    x = 106,377.48

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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.