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Finding the Fourth Proportional to 224,331.06, 309,575.43 and 123,729.06

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Solution

The fourth proportional to 224,331.06, 309,575.43 and 123,729.06 is: 170,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,331.06 : 309,575.43 = 123,729.06 : x
  2. Step 2: Convert to fraction form
    224,331.06/309,575.43 = 123,729.06/x
  3. Step 3: Cross multiply
    224,331.06x = 309,575.43 × 123,729.06
  4. Step 4: Simplify right side
    224,331.06x = 38,303,476,953.00
  5. Step 5: Solve for x
    x = 38,303,476,953.00/224,331.06
  6. Step 6: Final answer
    x = 170,745.31

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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.