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Finding the Fourth Proportional to 292,506.52, 403,659.02 and 165,190.31

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Solution

The fourth proportional to 292,506.52, 403,659.02 and 165,190.31 is: 227,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,506.52 : 403,659.02 = 165,190.31 : x
  2. Step 2: Convert to fraction form
    292,506.52/403,659.02 = 165,190.31/x
  3. Step 3: Cross multiply
    292,506.52x = 403,659.02 × 165,190.31
  4. Step 4: Simplify right side
    292,506.52x = 66,680,558,648.10
  5. Step 5: Solve for x
    x = 66,680,558,648.10/292,506.52
  6. Step 6: Final answer
    x = 227,962.64

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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.