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Finding the Fourth Proportional to 92,023.54, 138,210.28 and 57,206.50

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Solution

The fourth proportional to 92,023.54, 138,210.28 and 57,206.50 is: 85,918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,023.54 : 138,210.28 = 57,206.50 : x
  2. Step 2: Convert to fraction form
    92,023.54/138,210.28 = 57,206.50/x
  3. Step 3: Cross multiply
    92,023.54x = 138,210.28 × 57,206.50
  4. Step 4: Simplify right side
    92,023.54x = 7,906,526,382.82
  5. Step 5: Solve for x
    x = 7,906,526,382.82/92,023.54
  6. Step 6: Final answer
    x = 85,918.52

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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.