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Finding the Fourth Proportional to 151,004.70, 208,386.60 and 83,022.84

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Solution

The fourth proportional to 151,004.70, 208,386.60 and 83,022.84 is: 114,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,004.70 : 208,386.60 = 83,022.84 : x
  2. Step 2: Convert to fraction form
    151,004.70/208,386.60 = 83,022.84/x
  3. Step 3: Cross multiply
    151,004.70x = 208,386.60 × 83,022.84
  4. Step 4: Simplify right side
    151,004.70x = 17,300,847,349.94
  5. Step 5: Solve for x
    x = 17,300,847,349.94/151,004.70
  6. Step 6: Final answer
    x = 114,571.58

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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.