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Finding the Fourth Proportional to 117,896.10, 162,691.64 and 64,180

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Solution

The fourth proportional to 117,896.10, 162,691.64 and 64,180 is: 88,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,896.10 : 162,691.64 = 64,180 : x
  2. Step 2: Convert to fraction form
    117,896.10/162,691.64 = 64,180/x
  3. Step 3: Cross multiply
    117,896.10x = 162,691.64 × 64,180
  4. Step 4: Simplify right side
    117,896.10x = 10,441,549,455.20
  5. Step 5: Solve for x
    x = 10,441,549,455.20/117,896.10
  6. Step 6: Final answer
    x = 88,565.69

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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.