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Finding the Fourth Proportional to 353,495.88, 530,175.36 and 137,354.24

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Solution

The fourth proportional to 353,495.88, 530,175.36 and 137,354.24 is: 206,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,495.88 : 530,175.36 = 137,354.24 : x
  2. Step 2: Convert to fraction form
    353,495.88/530,175.36 = 137,354.24/x
  3. Step 3: Cross multiply
    353,495.88x = 530,175.36 × 137,354.24
  4. Step 4: Simplify right side
    353,495.88x = 72,821,833,639.53
  5. Step 5: Solve for x
    x = 72,821,833,639.53/353,495.88
  6. Step 6: Final answer
    x = 206,004.76

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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.