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Finding the Fourth Proportional to 203,175.43, 304,482.92 and 153,200.59

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Solution

The fourth proportional to 203,175.43, 304,482.92 and 153,200.59 is: 229,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,175.43 : 304,482.92 = 153,200.59 : x
  2. Step 2: Convert to fraction form
    203,175.43/304,482.92 = 153,200.59/x
  3. Step 3: Cross multiply
    203,175.43x = 304,482.92 × 153,200.59
  4. Step 4: Simplify right side
    203,175.43x = 46,646,961,461.71
  5. Step 5: Solve for x
    x = 46,646,961,461.71/203,175.43
  6. Step 6: Final answer
    x = 229,589.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.