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Finding the Fourth Proportional to 106,859.32, 160,184.82 and 44,547.64

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Solution

The fourth proportional to 106,859.32, 160,184.82 and 44,547.64 is: 66,778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,859.32 : 160,184.82 = 44,547.64 : x
  2. Step 2: Convert to fraction form
    106,859.32/160,184.82 = 44,547.64/x
  3. Step 3: Cross multiply
    106,859.32x = 160,184.82 × 44,547.64
  4. Step 4: Simplify right side
    106,859.32x = 7,135,855,694.82
  5. Step 5: Solve for x
    x = 7,135,855,694.82/106,859.32
  6. Step 6: Final answer
    x = 66,778.04

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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.