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Finding the Fourth Proportional to 194,647.20, 291,970.80 and 110,374.80

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Solution

The fourth proportional to 194,647.20, 291,970.80 and 110,374.80 is: 165,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,647.20 : 291,970.80 = 110,374.80 : x
  2. Step 2: Convert to fraction form
    194,647.20/291,970.80 = 110,374.80/x
  3. Step 3: Cross multiply
    194,647.20x = 291,970.80 × 110,374.80
  4. Step 4: Simplify right side
    194,647.20x = 32,226,218,655.84
  5. Step 5: Solve for x
    x = 32,226,218,655.84/194,647.20
  6. Step 6: Final answer
    x = 165,562.20

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1.5x scale

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.