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Finding the Fourth Proportional to 151,043.81, 208,440.88 and 83,064.96

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Solution

The fourth proportional to 151,043.81, 208,440.88 and 83,064.96 is: 114,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,043.81 : 208,440.88 = 83,064.96 : x
  2. Step 2: Convert to fraction form
    151,043.81/208,440.88 = 83,064.96/x
  3. Step 3: Cross multiply
    151,043.81x = 208,440.88 × 83,064.96
  4. Step 4: Simplify right side
    151,043.81x = 17,314,133,151.90
  5. Step 5: Solve for x
    x = 17,314,133,151.90/151,043.81
  6. Step 6: Final answer
    x = 114,629.88

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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.