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Finding the Fourth Proportional to 164,097.58, 224,977.85 and 161,108.37

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Solution

The fourth proportional to 164,097.58, 224,977.85 and 161,108.37 is: 220,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,097.58 : 224,977.85 = 161,108.37 : x
  2. Step 2: Convert to fraction form
    164,097.58/224,977.85 = 161,108.37/x
  3. Step 3: Cross multiply
    164,097.58x = 224,977.85 × 161,108.37
  4. Step 4: Simplify right side
    164,097.58x = 36,245,813,894.06
  5. Step 5: Solve for x
    x = 36,245,813,894.06/164,097.58
  6. Step 6: Final answer
    x = 220,879.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.