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Finding the Fourth Proportional to 151,338.16, 208,844.70 and 83,353.84

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Solution

The fourth proportional to 151,338.16, 208,844.70 and 83,353.84 is: 115,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,338.16 : 208,844.70 = 83,353.84 : x
  2. Step 2: Convert to fraction form
    151,338.16/208,844.70 = 83,353.84/x
  3. Step 3: Cross multiply
    151,338.16x = 208,844.70 × 83,353.84
  4. Step 4: Simplify right side
    151,338.16x = 17,408,007,708.65
  5. Step 5: Solve for x
    x = 17,408,007,708.65/151,338.16
  6. Step 6: Final answer
    x = 115,027.22

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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.