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Finding the Fourth Proportional to 224,968.01, 310,464.14 and 123,000.26

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Solution

The fourth proportional to 224,968.01, 310,464.14 and 123,000.26 is: 169,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,968.01 : 310,464.14 = 123,000.26 : x
  2. Step 2: Convert to fraction form
    224,968.01/310,464.14 = 123,000.26/x
  3. Step 3: Cross multiply
    224,968.01x = 310,464.14 × 123,000.26
  4. Step 4: Simplify right side
    224,968.01x = 38,187,169,940.68
  5. Step 5: Solve for x
    x = 38,187,169,940.68/224,968.01
  6. Step 6: Final answer
    x = 169,744.89

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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.