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Finding the Fourth Proportional to 224,577.98, 309,923.26 and 127,776.50

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Solution

The fourth proportional to 224,577.98, 309,923.26 and 127,776.50 is: 176,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,577.98 : 309,923.26 = 127,776.50 : x
  2. Step 2: Convert to fraction form
    224,577.98/309,923.26 = 127,776.50/x
  3. Step 3: Cross multiply
    224,577.98x = 309,923.26 × 127,776.50
  4. Step 4: Simplify right side
    224,577.98x = 39,600,909,431.39
  5. Step 5: Solve for x
    x = 39,600,909,431.39/224,577.98
  6. Step 6: Final answer
    x = 176,334.78

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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.