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Finding the Fourth Proportional to 160,816.39, 221,923.32 and 99,546.39

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Solution

The fourth proportional to 160,816.39, 221,923.32 and 99,546.39 is: 137,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,816.39 : 221,923.32 = 99,546.39 : x
  2. Step 2: Convert to fraction form
    160,816.39/221,923.32 = 99,546.39/x
  3. Step 3: Cross multiply
    160,816.39x = 221,923.32 × 99,546.39
  4. Step 4: Simplify right side
    160,816.39x = 22,091,665,893.65
  5. Step 5: Solve for x
    x = 22,091,665,893.65/160,816.39
  6. Step 6: Final answer
    x = 137,371.98

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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.