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Finding the Fourth Proportional to 160,850.48, 221,963.64 and 97,150.64

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Solution

The fourth proportional to 160,850.48, 221,963.64 and 97,150.64 is: 134,061.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,850.48 : 221,963.64 = 97,150.64 : x
  2. Step 2: Convert to fraction form
    160,850.48/221,963.64 = 97,150.64/x
  3. Step 3: Cross multiply
    160,850.48x = 221,963.64 × 97,150.64
  4. Step 4: Simplify right side
    160,850.48x = 21,563,909,682.73
  5. Step 5: Solve for x
    x = 21,563,909,682.73/160,850.48
  6. Step 6: Final answer
    x = 134,061.83

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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.