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Finding the Fourth Proportional to 182,034, 273,097.08 and 50,706

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Solution

The fourth proportional to 182,034, 273,097.08 and 50,706 is: 76,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,034 : 273,097.08 = 50,706 : x
  2. Step 2: Convert to fraction form
    182,034/273,097.08 = 50,706/x
  3. Step 3: Cross multiply
    182,034x = 273,097.08 × 50,706
  4. Step 4: Simplify right side
    182,034x = 13,847,660,538.48
  5. Step 5: Solve for x
    x = 13,847,660,538.48/182,034
  6. Step 6: Final answer
    x = 76,071.84

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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.