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Finding the Fourth Proportional to 292,542.88, 403,717.14 and 165,237.40

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Solution

The fourth proportional to 292,542.88, 403,717.14 and 165,237.40 is: 228,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,542.88 : 403,717.14 = 165,237.40 : x
  2. Step 2: Convert to fraction form
    292,542.88/403,717.14 = 165,237.40/x
  3. Step 3: Cross multiply
    292,542.88x = 403,717.14 × 165,237.40
  4. Step 4: Simplify right side
    292,542.88x = 66,709,170,549.04
  5. Step 5: Solve for x
    x = 66,709,170,549.04/292,542.88
  6. Step 6: Final answer
    x = 228,032.11

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