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Finding the Fourth Proportional to 109,763.16, 164,531.76 and 43,176.32

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Solution

The fourth proportional to 109,763.16, 164,531.76 and 43,176.32 is: 64,720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,763.16 : 164,531.76 = 43,176.32 : x
  2. Step 2: Convert to fraction form
    109,763.16/164,531.76 = 43,176.32/x
  3. Step 3: Cross multiply
    109,763.16x = 164,531.76 × 43,176.32
  4. Step 4: Simplify right side
    109,763.16x = 7,103,875,919.92
  5. Step 5: Solve for x
    x = 7,103,875,919.92/109,763.16
  6. Step 6: Final answer
    x = 64,720.04

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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.