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Finding the Fourth Proportional to 133,175, 183,781.50 and 73,562.84

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Solution

The fourth proportional to 133,175, 183,781.50 and 73,562.84 is: 101,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,175 : 183,781.50 = 73,562.84 : x
  2. Step 2: Convert to fraction form
    133,175/183,781.50 = 73,562.84/x
  3. Step 3: Cross multiply
    133,175x = 183,781.50 × 73,562.84
  4. Step 4: Simplify right side
    133,175x = 13,519,489,079.46
  5. Step 5: Solve for x
    x = 13,519,489,079.46/133,175
  6. Step 6: Final answer
    x = 101,516.72

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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.