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Finding the Fourth Proportional to 201,878.66, 278,591.17 and 111,232.53

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Solution

The fourth proportional to 201,878.66, 278,591.17 and 111,232.53 is: 153,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,878.66 : 278,591.17 = 111,232.53 : x
  2. Step 2: Convert to fraction form
    201,878.66/278,591.17 = 111,232.53/x
  3. Step 3: Cross multiply
    201,878.66x = 278,591.17 × 111,232.53
  4. Step 4: Simplify right side
    201,878.66x = 30,988,400,674.76
  5. Step 5: Solve for x
    x = 30,988,400,674.76/201,878.66
  6. Step 6: Final answer
    x = 153,500.13

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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.