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Finding the Fourth Proportional to 212,285.36, 292,953.78 and 116,790

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Solution

The fourth proportional to 212,285.36, 292,953.78 and 116,790 is: 161,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,285.36 : 292,953.78 = 116,790 : x
  2. Step 2: Convert to fraction form
    212,285.36/292,953.78 = 116,790/x
  3. Step 3: Cross multiply
    212,285.36x = 292,953.78 × 116,790
  4. Step 4: Simplify right side
    212,285.36x = 34,214,071,966.20
  5. Step 5: Solve for x
    x = 34,214,071,966.20/212,285.36
  6. Step 6: Final answer
    x = 161,170.19

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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.