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Finding the Fourth Proportional to 164,034.86, 224,891.78 and 161,045.51

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Solution

The fourth proportional to 164,034.86, 224,891.78 and 161,045.51 is: 220,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,034.86 : 224,891.78 = 161,045.51 : x
  2. Step 2: Convert to fraction form
    164,034.86/224,891.78 = 161,045.51/x
  3. Step 3: Cross multiply
    164,034.86x = 224,891.78 × 161,045.51
  4. Step 4: Simplify right side
    164,034.86x = 36,217,809,475.22
  5. Step 5: Solve for x
    x = 36,217,809,475.22/164,034.86
  6. Step 6: Final answer
    x = 220,793.38

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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.