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Finding the Fourth Proportional to 147,561.32, 203,614.08 and 83,892.08

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Solution

The fourth proportional to 147,561.32, 203,614.08 and 83,892.08 is: 115,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,561.32 : 203,614.08 = 83,892.08 : x
  2. Step 2: Convert to fraction form
    147,561.32/203,614.08 = 83,892.08/x
  3. Step 3: Cross multiply
    147,561.32x = 203,614.08 × 83,892.08
  4. Step 4: Simplify right side
    147,561.32x = 17,081,608,688.49
  5. Step 5: Solve for x
    x = 17,081,608,688.49/147,561.32
  6. Step 6: Final answer
    x = 115,759.39

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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.