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Finding the Fourth Proportional to 151,923.34, 209,650.71 and 83,936.80

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Solution

The fourth proportional to 151,923.34, 209,650.71 and 83,936.80 is: 115,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,923.34 : 209,650.71 = 83,936.80 : x
  2. Step 2: Convert to fraction form
    151,923.34/209,650.71 = 83,936.80/x
  3. Step 3: Cross multiply
    151,923.34x = 209,650.71 × 83,936.80
  4. Step 4: Simplify right side
    151,923.34x = 17,597,409,715.13
  5. Step 5: Solve for x
    x = 17,597,409,715.13/151,923.34
  6. Step 6: Final answer
    x = 115,830.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.