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Finding the Fourth Proportional to 224,101.50, 309,279.51 and 123,518.94

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Solution

The fourth proportional to 224,101.50, 309,279.51 and 123,518.94 is: 170,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,101.50 : 309,279.51 = 123,518.94 : x
  2. Step 2: Convert to fraction form
    224,101.50/309,279.51 = 123,518.94/x
  3. Step 3: Cross multiply
    224,101.50x = 309,279.51 × 123,518.94
  4. Step 4: Simplify right side
    224,101.50x = 38,201,877,238.92
  5. Step 5: Solve for x
    x = 38,201,877,238.92/224,101.50
  6. Step 6: Final answer
    x = 170,466.85

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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.