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Finding the Fourth Proportional to 164,197.29, 246,294.48 and 51,877.50

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Solution

The fourth proportional to 164,197.29, 246,294.48 and 51,877.50 is: 77,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,197.29 : 246,294.48 = 51,877.50 : x
  2. Step 2: Convert to fraction form
    164,197.29/246,294.48 = 51,877.50/x
  3. Step 3: Cross multiply
    164,197.29x = 246,294.48 × 51,877.50
  4. Step 4: Simplify right side
    164,197.29x = 12,777,141,886.20
  5. Step 5: Solve for x
    x = 12,777,141,886.20/164,197.29
  6. Step 6: Final answer
    x = 77,815.79

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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.