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Finding the Fourth Proportional to 280,643.84, 420,915.16 and 80,915.18

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Solution

The fourth proportional to 280,643.84, 420,915.16 and 80,915.18 is: 121,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,643.84 : 420,915.16 = 80,915.18 : x
  2. Step 2: Convert to fraction form
    280,643.84/420,915.16 = 80,915.18/x
  3. Step 3: Cross multiply
    280,643.84x = 420,915.16 × 80,915.18
  4. Step 4: Simplify right side
    280,643.84x = 34,058,425,936.13
  5. Step 5: Solve for x
    x = 34,058,425,936.13/280,643.84
  6. Step 6: Final answer
    x = 121,358.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.