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Finding the Fourth Proportional to 148,598.08, 205,016.90 and 84,061.06

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Solution

The fourth proportional to 148,598.08, 205,016.90 and 84,061.06 is: 115,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,598.08 : 205,016.90 = 84,061.06 : x
  2. Step 2: Convert to fraction form
    148,598.08/205,016.90 = 84,061.06/x
  3. Step 3: Cross multiply
    148,598.08x = 205,016.90 × 84,061.06
  4. Step 4: Simplify right side
    148,598.08x = 17,233,936,999.07
  5. Step 5: Solve for x
    x = 17,233,936,999.07/148,598.08
  6. Step 6: Final answer
    x = 115,976.85

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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.