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Finding the Fourth Proportional to 106,292.42, 146,678 and 66,005.32

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Solution

The fourth proportional to 106,292.42, 146,678 and 66,005.32 is: 91,083.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,292.42 : 146,678 = 66,005.32 : x
  2. Step 2: Convert to fraction form
    106,292.42/146,678 = 66,005.32/x
  3. Step 3: Cross multiply
    106,292.42x = 146,678 × 66,005.32
  4. Step 4: Simplify right side
    106,292.42x = 9,681,528,326.96
  5. Step 5: Solve for x
    x = 9,681,528,326.96/106,292.42
  6. Step 6: Final answer
    x = 91,083.90

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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.