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Finding the Fourth Proportional to 227,652, 314,164.80 and 125,677.24

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Solution

The fourth proportional to 227,652, 314,164.80 and 125,677.24 is: 173,437.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,652 : 314,164.80 = 125,677.24 : x
  2. Step 2: Convert to fraction form
    227,652/314,164.80 = 125,677.24/x
  3. Step 3: Cross multiply
    227,652x = 314,164.80 × 125,677.24
  4. Step 4: Simplify right side
    227,652x = 39,483,364,969.15
  5. Step 5: Solve for x
    x = 39,483,364,969.15/227,652
  6. Step 6: Final answer
    x = 173,437.37

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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.