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Finding the Fourth Proportional to 133,020, 183,567.84 and 73,404

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Solution

The fourth proportional to 133,020, 183,567.84 and 73,404 is: 101,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,020 : 183,567.84 = 73,404 : x
  2. Step 2: Convert to fraction form
    133,020/183,567.84 = 73,404/x
  3. Step 3: Cross multiply
    133,020x = 183,567.84 × 73,404
  4. Step 4: Simplify right side
    133,020x = 13,474,613,727.36
  5. Step 5: Solve for x
    x = 13,474,613,727.36/133,020
  6. Step 6: Final answer
    x = 101,297.65

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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.