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Finding the Fourth Proportional to 205,049.32, 282,967.67 and 114,399.90

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Solution

The fourth proportional to 205,049.32, 282,967.67 and 114,399.90 is: 157,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,049.32 : 282,967.67 = 114,399.90 : x
  2. Step 2: Convert to fraction form
    205,049.32/282,967.67 = 114,399.90/x
  3. Step 3: Cross multiply
    205,049.32x = 282,967.67 × 114,399.90
  4. Step 4: Simplify right side
    205,049.32x = 32,371,473,151.23
  5. Step 5: Solve for x
    x = 32,371,473,151.23/205,049.32
  6. Step 6: Final answer
    x = 157,871.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.