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Finding the Fourth Proportional to 132,819, 183,301.74 and 73,214.52

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Solution

The fourth proportional to 132,819, 183,301.74 and 73,214.52 is: 101,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,819 : 183,301.74 = 73,214.52 : x
  2. Step 2: Convert to fraction form
    132,819/183,301.74 = 73,214.52/x
  3. Step 3: Cross multiply
    132,819x = 183,301.74 × 73,214.52
  4. Step 4: Simplify right side
    132,819x = 13,420,348,909.26
  5. Step 5: Solve for x
    x = 13,420,348,909.26/132,819
  6. Step 6: Final answer
    x = 101,042.39

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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.