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Finding the Fourth Proportional to 202,930.80, 304,396.20 and 201,764.40

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Solution

The fourth proportional to 202,930.80, 304,396.20 and 201,764.40 is: 302,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,930.80 : 304,396.20 = 201,764.40 : x
  2. Step 2: Convert to fraction form
    202,930.80/304,396.20 = 201,764.40/x
  3. Step 3: Cross multiply
    202,930.80x = 304,396.20 × 201,764.40
  4. Step 4: Simplify right side
    202,930.80x = 61,416,316,655.28
  5. Step 5: Solve for x
    x = 61,416,316,655.28/202,930.80
  6. Step 6: Final answer
    x = 302,646.60

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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.