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Finding the Fourth Proportional to 220,702.24, 330,823.50 and 102,276.28

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Solution

The fourth proportional to 220,702.24, 330,823.50 and 102,276.28 is: 153,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,702.24 : 330,823.50 = 102,276.28 : x
  2. Step 2: Convert to fraction form
    220,702.24/330,823.50 = 102,276.28/x
  3. Step 3: Cross multiply
    220,702.24x = 330,823.50 × 102,276.28
  4. Step 4: Simplify right side
    220,702.24x = 33,835,396,916.58
  5. Step 5: Solve for x
    x = 33,835,396,916.58/220,702.24
  6. Step 6: Final answer
    x = 153,307.90

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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.