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Finding the Fourth Proportional to 224,051.04, 309,175.92 and 123,449.04

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Solution

The fourth proportional to 224,051.04, 309,175.92 and 123,449.04 is: 170,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,051.04 : 309,175.92 = 123,449.04 : x
  2. Step 2: Convert to fraction form
    224,051.04/309,175.92 = 123,449.04/x
  3. Step 3: Cross multiply
    224,051.04x = 309,175.92 × 123,449.04
  4. Step 4: Simplify right side
    224,051.04x = 38,167,470,515.12
  5. Step 5: Solve for x
    x = 38,167,470,515.12/224,051.04
  6. Step 6: Final answer
    x = 170,351.68

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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.