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Finding the Fourth Proportional to 224,054.25, 309,214.31 and 123,471.69

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Solution

The fourth proportional to 224,054.25, 309,214.31 and 123,471.69 is: 170,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,054.25 : 309,214.31 = 123,471.69 : x
  2. Step 2: Convert to fraction form
    224,054.25/309,214.31 = 123,471.69/x
  3. Step 3: Cross multiply
    224,054.25x = 309,214.31 × 123,471.69
  4. Step 4: Simplify right side
    224,054.25x = 38,179,212,810.53
  5. Step 5: Solve for x
    x = 38,179,212,810.53/224,054.25
  6. Step 6: Final answer
    x = 170,401.65

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1.5x scale

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.