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Finding the Fourth Proportional to 115,284.12, 159,152.22 and 81,830.04

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Solution

The fourth proportional to 115,284.12, 159,152.22 and 81,830.04 is: 112,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,284.12 : 159,152.22 = 81,830.04 : x
  2. Step 2: Convert to fraction form
    115,284.12/159,152.22 = 81,830.04/x
  3. Step 3: Cross multiply
    115,284.12x = 159,152.22 × 81,830.04
  4. Step 4: Simplify right side
    115,284.12x = 13,023,432,528.69
  5. Step 5: Solve for x
    x = 13,023,432,528.69/115,284.12
  6. Step 6: Final answer
    x = 112,968.14

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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.