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Finding the Fourth Proportional to 214,945.60, 322,418.40 and 148,590.40

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Solution

The fourth proportional to 214,945.60, 322,418.40 and 148,590.40 is: 222,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,945.60 : 322,418.40 = 148,590.40 : x
  2. Step 2: Convert to fraction form
    214,945.60/322,418.40 = 148,590.40/x
  3. Step 3: Cross multiply
    214,945.60x = 322,418.40 × 148,590.40
  4. Step 4: Simplify right side
    214,945.60x = 47,908,279,023.36
  5. Step 5: Solve for x
    x = 47,908,279,023.36/214,945.60
  6. Step 6: Final answer
    x = 222,885.60

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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.