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Finding the Fourth Proportional to 289,701.60, 434,422.80 and 131,848.80

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Solution

The fourth proportional to 289,701.60, 434,422.80 and 131,848.80 is: 197,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,701.60 : 434,422.80 = 131,848.80 : x
  2. Step 2: Convert to fraction form
    289,701.60/434,422.80 = 131,848.80/x
  3. Step 3: Cross multiply
    289,701.60x = 434,422.80 × 131,848.80
  4. Step 4: Simplify right side
    289,701.60x = 57,278,124,872.64
  5. Step 5: Solve for x
    x = 57,278,124,872.64/289,701.60
  6. Step 6: Final answer
    x = 197,714.22

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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.