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Finding the Fourth Proportional to 132,870.48, 199,354.32 and 61,827

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Solution

The fourth proportional to 132,870.48, 199,354.32 and 61,827 is: 92,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,870.48 : 199,354.32 = 61,827 : x
  2. Step 2: Convert to fraction form
    132,870.48/199,354.32 = 61,827/x
  3. Step 3: Cross multiply
    132,870.48x = 199,354.32 × 61,827
  4. Step 4: Simplify right side
    132,870.48x = 12,325,479,542.64
  5. Step 5: Solve for x
    x = 12,325,479,542.64/132,870.48
  6. Step 6: Final answer
    x = 92,763.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.