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Finding the Fourth Proportional to 174,016.60, 261,024.90 and 148,647.40

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Solution

The fourth proportional to 174,016.60, 261,024.90 and 148,647.40 is: 222,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,016.60 : 261,024.90 = 148,647.40 : x
  2. Step 2: Convert to fraction form
    174,016.60/261,024.90 = 148,647.40/x
  3. Step 3: Cross multiply
    174,016.60x = 261,024.90 × 148,647.40
  4. Step 4: Simplify right side
    174,016.60x = 38,800,672,720.26
  5. Step 5: Solve for x
    x = 38,800,672,720.26/174,016.60
  6. Step 6: Final answer
    x = 222,971.10

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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.