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Finding the Fourth Proportional to 117,856, 162,641.28 and 67,584.16

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Solution

The fourth proportional to 117,856, 162,641.28 and 67,584.16 is: 93,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,856 : 162,641.28 = 67,584.16 : x
  2. Step 2: Convert to fraction form
    117,856/162,641.28 = 67,584.16/x
  3. Step 3: Cross multiply
    117,856x = 162,641.28 × 67,584.16
  4. Step 4: Simplify right side
    117,856x = 10,991,974,290.12
  5. Step 5: Solve for x
    x = 10,991,974,290.12/117,856
  6. Step 6: Final answer
    x = 93,266.14

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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.