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Finding the Fourth Proportional to 205,294.84, 283,290.72 and 114,643.72

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Solution

The fourth proportional to 205,294.84, 283,290.72 and 114,643.72 is: 158,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,294.84 : 283,290.72 = 114,643.72 : x
  2. Step 2: Convert to fraction form
    205,294.84/283,290.72 = 114,643.72/x
  3. Step 3: Cross multiply
    205,294.84x = 283,290.72 × 114,643.72
  4. Step 4: Simplify right side
    205,294.84x = 32,477,501,982.28
  5. Step 5: Solve for x
    x = 32,477,501,982.28/205,294.84
  6. Step 6: Final answer
    x = 158,199.31

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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.