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Finding the Fourth Proportional to 230,419.53, 317,906.10 and 181,868.13

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Solution

The fourth proportional to 230,419.53, 317,906.10 and 181,868.13 is: 250,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,419.53 : 317,906.10 = 181,868.13 : x
  2. Step 2: Convert to fraction form
    230,419.53/317,906.10 = 181,868.13/x
  3. Step 3: Cross multiply
    230,419.53x = 317,906.10 × 181,868.13
  4. Step 4: Simplify right side
    230,419.53x = 57,816,987,922.59
  5. Step 5: Solve for x
    x = 57,816,987,922.59/230,419.53
  6. Step 6: Final answer
    x = 250,920.52

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1.5x scale

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.