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Finding the Fourth Proportional to 224,175, 309,361.50 and 123,575.16

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Solution

The fourth proportional to 224,175, 309,361.50 and 123,575.16 is: 170,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,175 : 309,361.50 = 123,575.16 : x
  2. Step 2: Convert to fraction form
    224,175/309,361.50 = 123,575.16/x
  3. Step 3: Cross multiply
    224,175x = 309,361.50 × 123,575.16
  4. Step 4: Simplify right side
    224,175x = 38,229,396,860.34
  5. Step 5: Solve for x
    x = 38,229,396,860.34/224,175
  6. Step 6: Final answer
    x = 170,533.72

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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.