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Finding the Fourth Proportional to 193,164.70, 289,747.05 and 174,502.30

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Solution

The fourth proportional to 193,164.70, 289,747.05 and 174,502.30 is: 261,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,164.70 : 289,747.05 = 174,502.30 : x
  2. Step 2: Convert to fraction form
    193,164.70/289,747.05 = 174,502.30/x
  3. Step 3: Cross multiply
    193,164.70x = 289,747.05 × 174,502.30
  4. Step 4: Simplify right side
    193,164.70x = 50,561,526,643.22
  5. Step 5: Solve for x
    x = 50,561,526,643.22/193,164.70
  6. Step 6: Final answer
    x = 261,753.45

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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.