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Finding the Fourth Proportional to 133,904.42, 200,857.77 and 34,064.70

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Solution

The fourth proportional to 133,904.42, 200,857.77 and 34,064.70 is: 51,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,904.42 : 200,857.77 = 34,064.70 : x
  2. Step 2: Convert to fraction form
    133,904.42/200,857.77 = 34,064.70/x
  3. Step 3: Cross multiply
    133,904.42x = 200,857.77 × 34,064.70
  4. Step 4: Simplify right side
    133,904.42x = 6,842,159,507.40
  5. Step 5: Solve for x
    x = 6,842,159,507.40/133,904.42
  6. Step 6: Final answer
    x = 51,097.34

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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.