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Finding the Fourth Proportional to 132,814, 183,285.96 and 72,384.40

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Solution

The fourth proportional to 132,814, 183,285.96 and 72,384.40 is: 99,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,814 : 183,285.96 = 72,384.40 : x
  2. Step 2: Convert to fraction form
    132,814/183,285.96 = 72,384.40/x
  3. Step 3: Cross multiply
    132,814x = 183,285.96 × 72,384.40
  4. Step 4: Simplify right side
    132,814x = 13,267,044,243.02
  5. Step 5: Solve for x
    x = 13,267,044,243.02/132,814
  6. Step 6: Final answer
    x = 99,891.91

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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.