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Finding the Fourth Proportional to 202,096.40, 302,707.20 and 108,492.80

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Solution

The fourth proportional to 202,096.40, 302,707.20 and 108,492.80 is: 162,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,096.40 : 302,707.20 = 108,492.80 : x
  2. Step 2: Convert to fraction form
    202,096.40/302,707.20 = 108,492.80/x
  3. Step 3: Cross multiply
    202,096.40x = 302,707.20 × 108,492.80
  4. Step 4: Simplify right side
    202,096.40x = 32,841,551,708.16
  5. Step 5: Solve for x
    x = 32,841,551,708.16/202,096.40
  6. Step 6: Final answer
    x = 162,504.39

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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.