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Finding the Fourth Proportional to 201,773.84, 278,460.53 and 111,129.78

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Solution

The fourth proportional to 201,773.84, 278,460.53 and 111,129.78 is: 153,366.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,773.84 : 278,460.53 = 111,129.78 : x
  2. Step 2: Convert to fraction form
    201,773.84/278,460.53 = 111,129.78/x
  3. Step 3: Cross multiply
    201,773.84x = 278,460.53 × 111,129.78
  4. Step 4: Simplify right side
    201,773.84x = 30,945,257,437.58
  5. Step 5: Solve for x
    x = 30,945,257,437.58/201,773.84
  6. Step 6: Final answer
    x = 153,366.06

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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.