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Finding the Fourth Proportional to 358,209.90, 536,593.59 and 165,813.14

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Solution

The fourth proportional to 358,209.90, 536,593.59 and 165,813.14 is: 248,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,209.90 : 536,593.59 = 165,813.14 : x
  2. Step 2: Convert to fraction form
    358,209.90/536,593.59 = 165,813.14/x
  3. Step 3: Cross multiply
    358,209.90x = 536,593.59 × 165,813.14
  4. Step 4: Simplify right side
    358,209.90x = 88,974,265,378.80
  5. Step 5: Solve for x
    x = 88,974,265,378.80/358,209.90
  6. Step 6: Final answer
    x = 248,385.84

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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.