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Finding the Fourth Proportional to 188,248.74, 282,428.34 and 75,871.26

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Solution

The fourth proportional to 188,248.74, 282,428.34 and 75,871.26 is: 113,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,248.74 : 282,428.34 = 75,871.26 : x
  2. Step 2: Convert to fraction form
    188,248.74/282,428.34 = 75,871.26/x
  3. Step 3: Cross multiply
    188,248.74x = 282,428.34 × 75,871.26
  4. Step 4: Simplify right side
    188,248.74x = 21,428,194,015.51
  5. Step 5: Solve for x
    x = 21,428,194,015.51/188,248.74
  6. Step 6: Final answer
    x = 113,829.15

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Why These Related Problems?

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