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Finding the Fourth Proportional to 212,264.38, 292,913.29 and 116,755.66

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Solution

The fourth proportional to 212,264.38, 292,913.29 and 116,755.66 is: 161,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,264.38 : 292,913.29 = 116,755.66 : x
  2. Step 2: Convert to fraction form
    212,264.38/292,913.29 = 116,755.66/x
  3. Step 3: Cross multiply
    212,264.38x = 292,913.29 × 116,755.66
  4. Step 4: Simplify right side
    212,264.38x = 34,199,284,496.72
  5. Step 5: Solve for x
    x = 34,199,284,496.72/212,264.38
  6. Step 6: Final answer
    x = 161,116.46

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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.