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Finding the Fourth Proportional to 224,431.84, 309,715.77 and 123,829.84

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Solution

The fourth proportional to 224,431.84, 309,715.77 and 123,829.84 is: 170,885.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,431.84 : 309,715.77 = 123,829.84 : x
  2. Step 2: Convert to fraction form
    224,431.84/309,715.77 = 123,829.84/x
  3. Step 3: Cross multiply
    224,431.84x = 309,715.77 × 123,829.84
  4. Step 4: Simplify right side
    224,431.84x = 38,352,054,244.58
  5. Step 5: Solve for x
    x = 38,352,054,244.58/224,431.84
  6. Step 6: Final answer
    x = 170,885.09

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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.