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Finding the Fourth Proportional to 133,461.63, 200,151.24 and 38,698.79

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Solution

The fourth proportional to 133,461.63, 200,151.24 and 38,698.79 is: 58,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,461.63 : 200,151.24 = 38,698.79 : x
  2. Step 2: Convert to fraction form
    133,461.63/200,151.24 = 38,698.79/x
  3. Step 3: Cross multiply
    133,461.63x = 200,151.24 × 38,698.79
  4. Step 4: Simplify right side
    133,461.63x = 7,745,611,825.78
  5. Step 5: Solve for x
    x = 7,745,611,825.78/133,461.63
  6. Step 6: Final answer
    x = 58,036.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.