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Finding the Fourth Proportional to 106,129.64, 146,473.02 and 68,513.24

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Solution

The fourth proportional to 106,129.64, 146,473.02 and 68,513.24 is: 94,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,129.64 : 146,473.02 = 68,513.24 : x
  2. Step 2: Convert to fraction form
    106,129.64/146,473.02 = 68,513.24/x
  3. Step 3: Cross multiply
    106,129.64x = 146,473.02 × 68,513.24
  4. Step 4: Simplify right side
    106,129.64x = 10,035,341,172.78
  5. Step 5: Solve for x
    x = 10,035,341,172.78/106,129.64
  6. Step 6: Final answer
    x = 94,557.38

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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.