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Finding the Fourth Proportional to 212,142.78, 292,746.15 and 116,647.02

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Solution

The fourth proportional to 212,142.78, 292,746.15 and 116,647.02 is: 160,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,142.78 : 292,746.15 = 116,647.02 : x
  2. Step 2: Convert to fraction form
    212,142.78/292,746.15 = 116,647.02/x
  3. Step 3: Cross multiply
    212,142.78x = 292,746.15 × 116,647.02
  4. Step 4: Simplify right side
    212,142.78x = 34,147,966,013.97
  5. Step 5: Solve for x
    x = 34,147,966,013.97/212,142.78
  6. Step 6: Final answer
    x = 160,966.90

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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.