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Finding the Fourth Proportional to 117,690, 162,412.77 and 63,975

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Solution

The fourth proportional to 117,690, 162,412.77 and 63,975 is: 88,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,690 : 162,412.77 = 63,975 : x
  2. Step 2: Convert to fraction form
    117,690/162,412.77 = 63,975/x
  3. Step 3: Cross multiply
    117,690x = 162,412.77 × 63,975
  4. Step 4: Simplify right side
    117,690x = 10,390,356,960.75
  5. Step 5: Solve for x
    x = 10,390,356,960.75/117,690
  6. Step 6: Final answer
    x = 88,285.81

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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.