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Finding the Fourth Proportional to 106,494.93, 147,051.45 and 95,144.40

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Solution

The fourth proportional to 106,494.93, 147,051.45 and 95,144.40 is: 131,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,494.93 : 147,051.45 = 95,144.40 : x
  2. Step 2: Convert to fraction form
    106,494.93/147,051.45 = 95,144.40/x
  3. Step 3: Cross multiply
    106,494.93x = 147,051.45 × 95,144.40
  4. Step 4: Simplify right side
    106,494.93x = 13,991,121,979.38
  5. Step 5: Solve for x
    x = 13,991,121,979.38/106,494.93
  6. Step 6: Final answer
    x = 131,378.29

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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.