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Finding the Fourth Proportional to 302,009.93, 416,774.54 and 166,057.78

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Solution

The fourth proportional to 302,009.93, 416,774.54 and 166,057.78 is: 229,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,009.93 : 416,774.54 = 166,057.78 : x
  2. Step 2: Convert to fraction form
    302,009.93/416,774.54 = 166,057.78/x
  3. Step 3: Cross multiply
    302,009.93x = 416,774.54 × 166,057.78
  4. Step 4: Simplify right side
    302,009.93x = 69,208,654,872.92
  5. Step 5: Solve for x
    x = 69,208,654,872.92/302,009.93
  6. Step 6: Final answer
    x = 229,160.20

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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.