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Finding the Fourth Proportional to 133,513.82, 200,276.87 and 74,304.87

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Solution

The fourth proportional to 133,513.82, 200,276.87 and 74,304.87 is: 111,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,513.82 : 200,276.87 = 74,304.87 : x
  2. Step 2: Convert to fraction form
    133,513.82/200,276.87 = 74,304.87/x
  3. Step 3: Cross multiply
    133,513.82x = 200,276.87 × 74,304.87
  4. Step 4: Simplify right side
    133,513.82x = 14,881,546,417.83
  5. Step 5: Solve for x
    x = 14,881,546,417.83/133,513.82
  6. Step 6: Final answer
    x = 111,460.72

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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.