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Finding the Fourth Proportional to 231,043.60, 346,565.40 and 106,627.60

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Solution

The fourth proportional to 231,043.60, 346,565.40 and 106,627.60 is: 159,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,043.60 : 346,565.40 = 106,627.60 : x
  2. Step 2: Convert to fraction form
    231,043.60/346,565.40 = 106,627.60/x
  3. Step 3: Cross multiply
    231,043.60x = 346,565.40 × 106,627.60
  4. Step 4: Simplify right side
    231,043.60x = 36,953,436,845.04
  5. Step 5: Solve for x
    x = 36,953,436,845.04/231,043.60
  6. Step 6: Final answer
    x = 159,941.40

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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.