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Finding the Fourth Proportional to 204,707.32, 282,487.62 and 114,058.60

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Solution

The fourth proportional to 204,707.32, 282,487.62 and 114,058.60 is: 157,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,707.32 : 282,487.62 = 114,058.60 : x
  2. Step 2: Convert to fraction form
    204,707.32/282,487.62 = 114,058.60/x
  3. Step 3: Cross multiply
    204,707.32x = 282,487.62 × 114,058.60
  4. Step 4: Simplify right side
    204,707.32x = 32,220,142,454.53
  5. Step 5: Solve for x
    x = 32,220,142,454.53/204,707.32
  6. Step 6: Final answer
    x = 157,396.14

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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.