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Finding the Fourth Proportional to 188,533, 282,727.68 and 83,294.56

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Solution

The fourth proportional to 188,533, 282,727.68 and 83,294.56 is: 124,910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,533 : 282,727.68 = 83,294.56 : x
  2. Step 2: Convert to fraction form
    188,533/282,727.68 = 83,294.56/x
  3. Step 3: Cross multiply
    188,533x = 282,727.68 × 83,294.56
  4. Step 4: Simplify right side
    188,533x = 23,549,677,705.42
  5. Step 5: Solve for x
    x = 23,549,677,705.42/188,533
  6. Step 6: Final answer
    x = 124,910.11

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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.