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Finding the Fourth Proportional to 229,434.60, 344,151.90 and 182,195.40

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Solution

The fourth proportional to 229,434.60, 344,151.90 and 182,195.40 is: 273,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,434.60 : 344,151.90 = 182,195.40 : x
  2. Step 2: Convert to fraction form
    229,434.60/344,151.90 = 182,195.40/x
  3. Step 3: Cross multiply
    229,434.60x = 344,151.90 × 182,195.40
  4. Step 4: Simplify right side
    229,434.60x = 62,702,893,081.26
  5. Step 5: Solve for x
    x = 62,702,893,081.26/229,434.60
  6. Step 6: Final answer
    x = 273,293.10

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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.