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Finding the Fourth Proportional to 189,582.33, 284,372.69 and 77,237.49

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Solution

The fourth proportional to 189,582.33, 284,372.69 and 77,237.49 is: 115,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,582.33 : 284,372.69 = 77,237.49 : x
  2. Step 2: Convert to fraction form
    189,582.33/284,372.69 = 77,237.49/x
  3. Step 3: Cross multiply
    189,582.33x = 284,372.69 × 77,237.49
  4. Step 4: Simplify right side
    189,582.33x = 21,964,232,413.96
  5. Step 5: Solve for x
    x = 21,964,232,413.96/189,582.33
  6. Step 6: Final answer
    x = 115,855.90

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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.