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Finding the Fourth Proportional to 132,021, 182,200.50 and 72,416.52

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Solution

The fourth proportional to 132,021, 182,200.50 and 72,416.52 is: 99,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,021 : 182,200.50 = 72,416.52 : x
  2. Step 2: Convert to fraction form
    132,021/182,200.50 = 72,416.52/x
  3. Step 3: Cross multiply
    132,021x = 182,200.50 × 72,416.52
  4. Step 4: Simplify right side
    132,021x = 13,194,326,152.26
  5. Step 5: Solve for x
    x = 13,194,326,152.26/132,021
  6. Step 6: Final answer
    x = 99,941.12

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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.