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Finding the Fourth Proportional to 106,447.51, 159,490.52 and 64,238.90

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Solution

The fourth proportional to 106,447.51, 159,490.52 and 64,238.90 is: 96,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,447.51 : 159,490.52 = 64,238.90 : x
  2. Step 2: Convert to fraction form
    106,447.51/159,490.52 = 64,238.90/x
  3. Step 3: Cross multiply
    106,447.51x = 159,490.52 × 64,238.90
  4. Step 4: Simplify right side
    106,447.51x = 10,245,495,244.03
  5. Step 5: Solve for x
    x = 10,245,495,244.03/106,447.51
  6. Step 6: Final answer
    x = 96,249.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.