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Finding the Fourth Proportional to 147,296, 203,259.42 and 86,869.16

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Solution

The fourth proportional to 147,296, 203,259.42 and 86,869.16 is: 119,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,296 : 203,259.42 = 86,869.16 : x
  2. Step 2: Convert to fraction form
    147,296/203,259.42 = 86,869.16/x
  3. Step 3: Cross multiply
    147,296x = 203,259.42 × 86,869.16
  4. Step 4: Simplify right side
    147,296x = 17,656,975,077.49
  5. Step 5: Solve for x
    x = 17,656,975,077.49/147,296
  6. Step 6: Final answer
    x = 119,874.10

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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.