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Finding the Fourth Proportional to 268,123.96, 402,237.78 and 101,899

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Solution

The fourth proportional to 268,123.96, 402,237.78 and 101,899 is: 152,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,123.96 : 402,237.78 = 101,899 : x
  2. Step 2: Convert to fraction form
    268,123.96/402,237.78 = 101,899/x
  3. Step 3: Cross multiply
    268,123.96x = 402,237.78 × 101,899
  4. Step 4: Simplify right side
    268,123.96x = 40,987,627,544.22
  5. Step 5: Solve for x
    x = 40,987,627,544.22/268,123.96
  6. Step 6: Final answer
    x = 152,868.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.