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Finding the Fourth Proportional to 193,416.30, 290,123.01 and 136,254.90

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Solution

The fourth proportional to 193,416.30, 290,123.01 and 136,254.90 is: 204,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,416.30 : 290,123.01 = 136,254.90 : x
  2. Step 2: Convert to fraction form
    193,416.30/290,123.01 = 136,254.90/x
  3. Step 3: Cross multiply
    193,416.30x = 290,123.01 × 136,254.90
  4. Step 4: Simplify right side
    193,416.30x = 39,530,681,715.25
  5. Step 5: Solve for x
    x = 39,530,681,715.25/193,416.30
  6. Step 6: Final answer
    x = 204,381.34

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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.