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Finding the Fourth Proportional to 292,165.71, 403,180.50 and 164,853.15

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Solution

The fourth proportional to 292,165.71, 403,180.50 and 164,853.15 is: 227,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,165.71 : 403,180.50 = 164,853.15 : x
  2. Step 2: Convert to fraction form
    292,165.71/403,180.50 = 164,853.15/x
  3. Step 3: Cross multiply
    292,165.71x = 403,180.50 × 164,853.15
  4. Step 4: Simplify right side
    292,165.71x = 66,465,575,443.58
  5. Step 5: Solve for x
    x = 66,465,575,443.58/292,165.71
  6. Step 6: Final answer
    x = 227,492.73

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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.