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Finding the Fourth Proportional to 117,707.14, 176,638.44 and 55,382.50

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Solution

The fourth proportional to 117,707.14, 176,638.44 and 55,382.50 is: 83,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,707.14 : 176,638.44 = 55,382.50 : x
  2. Step 2: Convert to fraction form
    117,707.14/176,638.44 = 55,382.50/x
  3. Step 3: Cross multiply
    117,707.14x = 176,638.44 × 55,382.50
  4. Step 4: Simplify right side
    117,707.14x = 9,782,678,403.30
  5. Step 5: Solve for x
    x = 9,782,678,403.30/117,707.14
  6. Step 6: Final answer
    x = 83,110.32

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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.