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Finding the Fourth Proportional to 205,558.84, 283,684.44 and 114,915.16

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Solution

The fourth proportional to 205,558.84, 283,684.44 and 114,915.16 is: 158,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,558.84 : 283,684.44 = 114,915.16 : x
  2. Step 2: Convert to fraction form
    205,558.84/283,684.44 = 114,915.16/x
  3. Step 3: Cross multiply
    205,558.84x = 283,684.44 × 114,915.16
  4. Step 4: Simplify right side
    205,558.84x = 32,599,642,812.11
  5. Step 5: Solve for x
    x = 32,599,642,812.11/205,558.84
  6. Step 6: Final answer
    x = 158,590.32

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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.