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Finding the Fourth Proportional to 229,883.72, 317,237.46 and 129,282.44

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Solution

The fourth proportional to 229,883.72, 317,237.46 and 129,282.44 is: 178,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,883.72 : 317,237.46 = 129,282.44 : x
  2. Step 2: Convert to fraction form
    229,883.72/317,237.46 = 129,282.44/x
  3. Step 3: Cross multiply
    229,883.72x = 317,237.46 × 129,282.44
  4. Step 4: Simplify right side
    229,883.72x = 41,013,232,888.20
  5. Step 5: Solve for x
    x = 41,013,232,888.20/229,883.72
  6. Step 6: Final answer
    x = 178,408.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.