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Finding the Fourth Proportional to 202,971.40, 304,457.10 and 194,806.60

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Solution

The fourth proportional to 202,971.40, 304,457.10 and 194,806.60 is: 292,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,971.40 : 304,457.10 = 194,806.60 : x
  2. Step 2: Convert to fraction form
    202,971.40/304,457.10 = 194,806.60/x
  3. Step 3: Cross multiply
    202,971.40x = 304,457.10 × 194,806.60
  4. Step 4: Simplify right side
    202,971.40x = 59,310,252,496.86
  5. Step 5: Solve for x
    x = 59,310,252,496.86/202,971.40
  6. Step 6: Final answer
    x = 292,209.90

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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.