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Finding the Fourth Proportional to 224,849.20, 310,295.97 and 122,878.98

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Solution

The fourth proportional to 224,849.20, 310,295.97 and 122,878.98 is: 169,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,849.20 : 310,295.97 = 122,878.98 : x
  2. Step 2: Convert to fraction form
    224,849.20/310,295.97 = 122,878.98/x
  3. Step 3: Cross multiply
    224,849.20x = 310,295.97 × 122,878.98
  4. Step 4: Simplify right side
    224,849.20x = 38,128,850,740.23
  5. Step 5: Solve for x
    x = 38,128,850,740.23/224,849.20
  6. Step 6: Final answer
    x = 169,575.21

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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.