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Finding the Fourth Proportional to 117,812.14, 176,651.26 and 80,417.48

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Solution

The fourth proportional to 117,812.14, 176,651.26 and 80,417.48 is: 120,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,812.14 : 176,651.26 = 80,417.48 : x
  2. Step 2: Convert to fraction form
    117,812.14/176,651.26 = 80,417.48/x
  3. Step 3: Cross multiply
    117,812.14x = 176,651.26 × 80,417.48
  4. Step 4: Simplify right side
    117,812.14x = 14,205,849,168.02
  5. Step 5: Solve for x
    x = 14,205,849,168.02/117,812.14
  6. Step 6: Final answer
    x = 120,580.52

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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.