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Finding the Fourth Proportional to 433,154.13, 649,841.90 and 166,843.14

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Solution

The fourth proportional to 433,154.13, 649,841.90 and 166,843.14 is: 250,307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,154.13 : 649,841.90 = 166,843.14 : x
  2. Step 2: Convert to fraction form
    433,154.13/649,841.90 = 166,843.14/x
  3. Step 3: Cross multiply
    433,154.13x = 649,841.90 × 166,843.14
  4. Step 4: Simplify right side
    433,154.13x = 108,421,662,265.35
  5. Step 5: Solve for x
    x = 108,421,662,265.35/433,154.13
  6. Step 6: Final answer
    x = 250,307.35

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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.