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Finding the Fourth Proportional to 105,884.64, 146,092.26 and 60,553.26

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Solution

The fourth proportional to 105,884.64, 146,092.26 and 60,553.26 is: 83,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,884.64 : 146,092.26 = 60,553.26 : x
  2. Step 2: Convert to fraction form
    105,884.64/146,092.26 = 60,553.26/x
  3. Step 3: Cross multiply
    105,884.64x = 146,092.26 × 60,553.26
  4. Step 4: Simplify right side
    105,884.64x = 8,846,362,603.77
  5. Step 5: Solve for x
    x = 8,846,362,603.77/105,884.64
  6. Step 6: Final answer
    x = 83,547.18

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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.