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Finding the Fourth Proportional to 132,214.66, 182,455.16 and 71,784.09

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Solution

The fourth proportional to 132,214.66, 182,455.16 and 71,784.09 is: 99,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,214.66 : 182,455.16 = 71,784.09 : x
  2. Step 2: Convert to fraction form
    132,214.66/182,455.16 = 71,784.09/x
  3. Step 3: Cross multiply
    132,214.66x = 182,455.16 × 71,784.09
  4. Step 4: Simplify right side
    132,214.66x = 13,097,377,267.48
  5. Step 5: Solve for x
    x = 13,097,377,267.48/132,214.66
  6. Step 6: Final answer
    x = 99,061.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.