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Finding the Fourth Proportional to 160,871.84, 222,009.07 and 97,197.33

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Solution

The fourth proportional to 160,871.84, 222,009.07 and 97,197.33 is: 134,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,871.84 : 222,009.07 = 97,197.33 : x
  2. Step 2: Convert to fraction form
    160,871.84/222,009.07 = 97,197.33/x
  3. Step 3: Cross multiply
    160,871.84x = 222,009.07 × 97,197.33
  4. Step 4: Simplify right side
    160,871.84x = 21,578,689,611.57
  5. Step 5: Solve for x
    x = 21,578,689,611.57/160,871.84
  6. Step 6: Final answer
    x = 134,135.90

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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.