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Finding the Fourth Proportional to 302,001.38, 416,762.18 and 166,037.64

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Solution

The fourth proportional to 302,001.38, 416,762.18 and 166,037.64 is: 229,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,001.38 : 416,762.18 = 166,037.64 : x
  2. Step 2: Convert to fraction form
    302,001.38/416,762.18 = 166,037.64/x
  3. Step 3: Cross multiply
    302,001.38x = 416,762.18 × 166,037.64
  4. Step 4: Simplify right side
    302,001.38x = 69,198,208,808.46
  5. Step 5: Solve for x
    x = 69,198,208,808.46/302,001.38
  6. Step 6: Final answer
    x = 229,132.09

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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.