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Finding the Fourth Proportional to 224,456.24, 309,741.02 and 123,854.24

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Solution

The fourth proportional to 224,456.24, 309,741.02 and 123,854.24 is: 170,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,456.24 : 309,741.02 = 123,854.24 : x
  2. Step 2: Convert to fraction form
    224,456.24/309,741.02 = 123,854.24/x
  3. Step 3: Cross multiply
    224,456.24x = 309,741.02 × 123,854.24
  4. Step 4: Simplify right side
    224,456.24x = 38,362,738,628.92
  5. Step 5: Solve for x
    x = 38,362,738,628.92/224,456.24
  6. Step 6: Final answer
    x = 170,914.11

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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.