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Finding the Fourth Proportional to 205,016.64, 282,874.68 and 124,442.16

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Solution

The fourth proportional to 205,016.64, 282,874.68 and 124,442.16 is: 171,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,016.64 : 282,874.68 = 124,442.16 : x
  2. Step 2: Convert to fraction form
    205,016.64/282,874.68 = 124,442.16/x
  3. Step 3: Cross multiply
    205,016.64x = 282,874.68 × 124,442.16
  4. Step 4: Simplify right side
    205,016.64x = 35,201,536,188.51
  5. Step 5: Solve for x
    x = 35,201,536,188.51/205,016.64
  6. Step 6: Final answer
    x = 171,700.87

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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.