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Finding the Fourth Proportional to 224,999, 310,505.10 and 124,403.48

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Solution

The fourth proportional to 224,999, 310,505.10 and 124,403.48 is: 171,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,999 : 310,505.10 = 124,403.48 : x
  2. Step 2: Convert to fraction form
    224,999/310,505.10 = 124,403.48/x
  3. Step 3: Cross multiply
    224,999x = 310,505.10 × 124,403.48
  4. Step 4: Simplify right side
    224,999x = 38,627,914,997.75
  5. Step 5: Solve for x
    x = 38,627,914,997.75/224,999
  6. Step 6: Final answer
    x = 171,680.39

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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.