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Finding the Fourth Proportional to 194,634.60, 291,750.30 and 105,700.20

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Solution

The fourth proportional to 194,634.60, 291,750.30 and 105,700.20 is: 158,440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,634.60 : 291,750.30 = 105,700.20 : x
  2. Step 2: Convert to fraction form
    194,634.60/291,750.30 = 105,700.20/x
  3. Step 3: Cross multiply
    194,634.60x = 291,750.30 × 105,700.20
  4. Step 4: Simplify right side
    194,634.60x = 30,838,065,060.06
  5. Step 5: Solve for x
    x = 30,838,065,060.06/194,634.60
  6. Step 6: Final answer
    x = 158,440.82

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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.