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Finding the Fourth Proportional to 194,697.60, 291,844.80 and 105,763.20

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Solution

The fourth proportional to 194,697.60, 291,844.80 and 105,763.20 is: 158,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,697.60 : 291,844.80 = 105,763.20 : x
  2. Step 2: Convert to fraction form
    194,697.60/291,844.80 = 105,763.20/x
  3. Step 3: Cross multiply
    194,697.60x = 291,844.80 × 105,763.20
  4. Step 4: Simplify right side
    194,697.60x = 30,866,439,951.36
  5. Step 5: Solve for x
    x = 30,866,439,951.36/194,697.60
  6. Step 6: Final answer
    x = 158,535.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.