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Finding the Fourth Proportional to 212,002.88, 292,569.36 and 116,512

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Solution

The fourth proportional to 212,002.88, 292,569.36 and 116,512 is: 160,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,002.88 : 292,569.36 = 116,512 : x
  2. Step 2: Convert to fraction form
    212,002.88/292,569.36 = 116,512/x
  3. Step 3: Cross multiply
    212,002.88x = 292,569.36 × 116,512
  4. Step 4: Simplify right side
    212,002.88x = 34,087,841,272.32
  5. Step 5: Solve for x
    x = 34,087,841,272.32/212,002.88
  6. Step 6: Final answer
    x = 160,789.52

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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.