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Finding the Fourth Proportional to 205,812.24, 284,065.02 and 134,064.24

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Solution

The fourth proportional to 205,812.24, 284,065.02 and 134,064.24 is: 185,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,812.24 : 284,065.02 = 134,064.24 : x
  2. Step 2: Convert to fraction form
    205,812.24/284,065.02 = 134,064.24/x
  3. Step 3: Cross multiply
    205,812.24x = 284,065.02 × 134,064.24
  4. Step 4: Simplify right side
    205,812.24x = 38,082,961,016.88
  5. Step 5: Solve for x
    x = 38,082,961,016.88/205,812.24
  6. Step 6: Final answer
    x = 185,037.40

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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.