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Finding the Fourth Proportional to 224,374.84, 309,640.74 and 123,772.84

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Solution

The fourth proportional to 224,374.84, 309,640.74 and 123,772.84 is: 170,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,374.84 : 309,640.74 = 123,772.84 : x
  2. Step 2: Convert to fraction form
    224,374.84/309,640.74 = 123,772.84/x
  3. Step 3: Cross multiply
    224,374.84x = 309,640.74 × 123,772.84
  4. Step 4: Simplify right side
    224,374.84x = 38,325,113,769.50
  5. Step 5: Solve for x
    x = 38,325,113,769.50/224,374.84
  6. Step 6: Final answer
    x = 170,808.43

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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.