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Finding the Fourth Proportional to 132,444, 182,772.72 and 72,828

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Solution

The fourth proportional to 132,444, 182,772.72 and 72,828 is: 100,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,444 : 182,772.72 = 72,828 : x
  2. Step 2: Convert to fraction form
    132,444/182,772.72 = 72,828/x
  3. Step 3: Cross multiply
    132,444x = 182,772.72 × 72,828
  4. Step 4: Simplify right side
    132,444x = 13,310,971,652.16
  5. Step 5: Solve for x
    x = 13,310,971,652.16/132,444
  6. Step 6: Final answer
    x = 100,502.64

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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.