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Finding the Fourth Proportional to 114,293.46, 157,733.88 and 65,910.96

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Solution

The fourth proportional to 114,293.46, 157,733.88 and 65,910.96 is: 90,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,293.46 : 157,733.88 = 65,910.96 : x
  2. Step 2: Convert to fraction form
    114,293.46/157,733.88 = 65,910.96/x
  3. Step 3: Cross multiply
    114,293.46x = 157,733.88 × 65,910.96
  4. Step 4: Simplify right side
    114,293.46x = 10,396,391,455.32
  5. Step 5: Solve for x
    x = 10,396,391,455.32/114,293.46
  6. Step 6: Final answer
    x = 90,962.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.