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Finding the Fourth Proportional to 224,066.25, 309,226.41 and 123,464.25

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Solution

The fourth proportional to 224,066.25, 309,226.41 and 123,464.25 is: 170,388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,066.25 : 309,226.41 = 123,464.25 : x
  2. Step 2: Convert to fraction form
    224,066.25/309,226.41 = 123,464.25/x
  3. Step 3: Cross multiply
    224,066.25x = 309,226.41 × 123,464.25
  4. Step 4: Simplify right side
    224,066.25x = 38,178,406,790.84
  5. Step 5: Solve for x
    x = 38,178,406,790.84/224,066.25
  6. Step 6: Final answer
    x = 170,388.92

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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.