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Finding the Fourth Proportional to 115,164.56, 172,746.84 and 65,882

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Solution

The fourth proportional to 115,164.56, 172,746.84 and 65,882 is: 98,823

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,164.56 : 172,746.84 = 65,882 : x
  2. Step 2: Convert to fraction form
    115,164.56/172,746.84 = 65,882/x
  3. Step 3: Cross multiply
    115,164.56x = 172,746.84 × 65,882
  4. Step 4: Simplify right side
    115,164.56x = 11,380,907,312.88
  5. Step 5: Solve for x
    x = 11,380,907,312.88/115,164.56
  6. Step 6: Final answer
    x = 98,823

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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.