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Finding the Fourth Proportional to 133,071.74, 183,637.74 and 82,064.08

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Solution

The fourth proportional to 133,071.74, 183,637.74 and 82,064.08 is: 113,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071.74 : 183,637.74 = 82,064.08 : x
  2. Step 2: Convert to fraction form
    133,071.74/183,637.74 = 82,064.08/x
  3. Step 3: Cross multiply
    133,071.74x = 183,637.74 × 82,064.08
  4. Step 4: Simplify right side
    133,071.74x = 15,070,062,186.38
  5. Step 5: Solve for x
    x = 15,070,062,186.38/133,071.74
  6. Step 6: Final answer
    x = 113,247.65

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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.