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Finding the Fourth Proportional to 224,784.81, 310,224.48 and 122,825.77

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Solution

The fourth proportional to 224,784.81, 310,224.48 and 122,825.77 is: 169,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,784.81 : 310,224.48 = 122,825.77 : x
  2. Step 2: Convert to fraction form
    224,784.81/310,224.48 = 122,825.77/x
  3. Step 3: Cross multiply
    224,784.81x = 310,224.48 × 122,825.77
  4. Step 4: Simplify right side
    224,784.81x = 38,103,560,628.85
  5. Step 5: Solve for x
    x = 38,103,560,628.85/224,784.81
  6. Step 6: Final answer
    x = 169,511.28

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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.