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Finding the Fourth Proportional to 147,169.55, 203,094.38 and 83,507.18

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Solution

The fourth proportional to 147,169.55, 203,094.38 and 83,507.18 is: 115,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,169.55 : 203,094.38 = 83,507.18 : x
  2. Step 2: Convert to fraction form
    147,169.55/203,094.38 = 83,507.18/x
  3. Step 3: Cross multiply
    147,169.55x = 203,094.38 × 83,507.18
  4. Step 4: Simplify right side
    147,169.55x = 16,959,838,947.65
  5. Step 5: Solve for x
    x = 16,959,838,947.65/147,169.55
  6. Step 6: Final answer
    x = 115,240.14

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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.