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Finding the Fourth Proportional to 160,495.76, 221,481.40 and 88,874.24

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Solution

The fourth proportional to 160,495.76, 221,481.40 and 88,874.24 is: 122,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,495.76 : 221,481.40 = 88,874.24 : x
  2. Step 2: Convert to fraction form
    160,495.76/221,481.40 = 88,874.24/x
  3. Step 3: Cross multiply
    160,495.76x = 221,481.40 × 88,874.24
  4. Step 4: Simplify right side
    160,495.76x = 19,683,991,099.14
  5. Step 5: Solve for x
    x = 19,683,991,099.14/160,495.76
  6. Step 6: Final answer
    x = 122,644.93

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1.5x scale

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.