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Finding the Fourth Proportional to 167,285.70, 230,535.23 and 164,210.94

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Solution

The fourth proportional to 167,285.70, 230,535.23 and 164,210.94 is: 226,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,285.70 : 230,535.23 = 164,210.94 : x
  2. Step 2: Convert to fraction form
    167,285.70/230,535.23 = 164,210.94/x
  3. Step 3: Cross multiply
    167,285.70x = 230,535.23 × 164,210.94
  4. Step 4: Simplify right side
    167,285.70x = 37,856,406,821.42
  5. Step 5: Solve for x
    x = 37,856,406,821.42/167,285.70
  6. Step 6: Final answer
    x = 226,297.93

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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.