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Finding the Fourth Proportional to 114,904.48, 158,524.54 and 71,276.78

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Solution

The fourth proportional to 114,904.48, 158,524.54 and 71,276.78 is: 98,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,904.48 : 158,524.54 = 71,276.78 : x
  2. Step 2: Convert to fraction form
    114,904.48/158,524.54 = 71,276.78/x
  3. Step 3: Cross multiply
    114,904.48x = 158,524.54 × 71,276.78
  4. Step 4: Simplify right side
    114,904.48x = 11,299,118,762.18
  5. Step 5: Solve for x
    x = 11,299,118,762.18/114,904.48
  6. Step 6: Final answer
    x = 98,334.88

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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.