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Finding the Fourth Proportional to 160,603.98, 221,737.44 and 103,269

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Solution

The fourth proportional to 160,603.98, 221,737.44 and 103,269 is: 142,578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,603.98 : 221,737.44 = 103,269 : x
  2. Step 2: Convert to fraction form
    160,603.98/221,737.44 = 103,269/x
  3. Step 3: Cross multiply
    160,603.98x = 221,737.44 × 103,269
  4. Step 4: Simplify right side
    160,603.98x = 22,898,603,691.36
  5. Step 5: Solve for x
    x = 22,898,603,691.36/160,603.98
  6. Step 6: Final answer
    x = 142,578.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.