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Finding the Fourth Proportional to 148,992.56, 205,617.12 and 92,422.16

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Solution

The fourth proportional to 148,992.56, 205,617.12 and 92,422.16 is: 127,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,992.56 : 205,617.12 = 92,422.16 : x
  2. Step 2: Convert to fraction form
    148,992.56/205,617.12 = 92,422.16/x
  3. Step 3: Cross multiply
    148,992.56x = 205,617.12 × 92,422.16
  4. Step 4: Simplify right side
    148,992.56x = 19,003,578,363.38
  5. Step 5: Solve for x
    x = 19,003,578,363.38/148,992.56
  6. Step 6: Final answer
    x = 127,547.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.