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Finding the Fourth Proportional to 292,557.30, 403,734.42 and 165,209.10

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Solution

The fourth proportional to 292,557.30, 403,734.42 and 165,209.10 is: 227,991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,557.30 : 403,734.42 = 165,209.10 : x
  2. Step 2: Convert to fraction form
    292,557.30/403,734.42 = 165,209.10/x
  3. Step 3: Cross multiply
    292,557.30x = 403,734.42 × 165,209.10
  4. Step 4: Simplify right side
    292,557.30x = 66,700,600,167.22
  5. Step 5: Solve for x
    x = 66,700,600,167.22/292,557.30
  6. Step 6: Final answer
    x = 227,991.58

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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.