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Finding the Fourth Proportional to 132,214.50, 182,456.01 and 72,598.50

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Solution

The fourth proportional to 132,214.50, 182,456.01 and 72,598.50 is: 100,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,214.50 : 182,456.01 = 72,598.50 : x
  2. Step 2: Convert to fraction form
    132,214.50/182,456.01 = 72,598.50/x
  3. Step 3: Cross multiply
    132,214.50x = 182,456.01 × 72,598.50
  4. Step 4: Simplify right side
    132,214.50x = 13,246,032,641.99
  5. Step 5: Solve for x
    x = 13,246,032,641.99/132,214.50
  6. Step 6: Final answer
    x = 100,185.93

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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.