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Finding the Fourth Proportional to 224,574.98, 309,919.12 and 127,773.50

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Solution

The fourth proportional to 224,574.98, 309,919.12 and 127,773.50 is: 176,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,574.98 : 309,919.12 = 127,773.50 : x
  2. Step 2: Convert to fraction form
    224,574.98/309,919.12 = 127,773.50/x
  3. Step 3: Cross multiply
    224,574.98x = 309,919.12 × 127,773.50
  4. Step 4: Simplify right side
    224,574.98x = 39,599,450,679.32
  5. Step 5: Solve for x
    x = 39,599,450,679.32/224,574.98
  6. Step 6: Final answer
    x = 176,330.64

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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.