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Finding the Fourth Proportional to 302,000.38, 416,760.80 and 166,036.64

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Solution

The fourth proportional to 302,000.38, 416,760.80 and 166,036.64 is: 229,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,000.38 : 416,760.80 = 166,036.64 : x
  2. Step 2: Convert to fraction form
    302,000.38/416,760.80 = 166,036.64/x
  3. Step 3: Cross multiply
    302,000.38x = 416,760.80 × 166,036.64
  4. Step 4: Simplify right side
    302,000.38x = 69,197,562,915.71
  5. Step 5: Solve for x
    x = 69,197,562,915.71/302,000.38
  6. Step 6: Final answer
    x = 229,130.71

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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.