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Finding the Fourth Proportional to 229,348.60, 344,022.90 and 182,109.40

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Solution

The fourth proportional to 229,348.60, 344,022.90 and 182,109.40 is: 273,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,348.60 : 344,022.90 = 182,109.40 : x
  2. Step 2: Convert to fraction form
    229,348.60/344,022.90 = 182,109.40/x
  3. Step 3: Cross multiply
    229,348.60x = 344,022.90 × 182,109.40
  4. Step 4: Simplify right side
    229,348.60x = 62,649,803,905.26
  5. Step 5: Solve for x
    x = 62,649,803,905.26/229,348.60
  6. Step 6: Final answer
    x = 273,164.10

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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.