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Finding the Fourth Proportional to 194,962.60, 293,027.10 and 169,301.80

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Solution

The fourth proportional to 194,962.60, 293,027.10 and 169,301.80 is: 254,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,962.60 : 293,027.10 = 169,301.80 : x
  2. Step 2: Convert to fraction form
    194,962.60/293,027.10 = 169,301.80/x
  3. Step 3: Cross multiply
    194,962.60x = 293,027.10 × 169,301.80
  4. Step 4: Simplify right side
    194,962.60x = 49,610,015,478.78
  5. Step 5: Solve for x
    x = 49,610,015,478.78/194,962.60
  6. Step 6: Final answer
    x = 254,459.14

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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.