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Finding the Fourth Proportional to 157,767.12, 236,720.03 and 82,869.86

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Solution

The fourth proportional to 157,767.12, 236,720.03 and 82,869.86 is: 124,341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,767.12 : 236,720.03 = 82,869.86 : x
  2. Step 2: Convert to fraction form
    157,767.12/236,720.03 = 82,869.86/x
  3. Step 3: Cross multiply
    157,767.12x = 236,720.03 × 82,869.86
  4. Step 4: Simplify right side
    157,767.12x = 19,616,955,745.30
  5. Step 5: Solve for x
    x = 19,616,955,745.30/157,767.12
  6. Step 6: Final answer
    x = 124,341.22

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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.