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Finding the Fourth Proportional to 202,130.40, 303,341.40 and 113,289.60

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Solution

The fourth proportional to 202,130.40, 303,341.40 and 113,289.60 is: 170,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,130.40 : 303,341.40 = 113,289.60 : x
  2. Step 2: Convert to fraction form
    202,130.40/303,341.40 = 113,289.60/x
  3. Step 3: Cross multiply
    202,130.40x = 303,341.40 × 113,289.60
  4. Step 4: Simplify right side
    202,130.40x = 34,365,425,869.44
  5. Step 5: Solve for x
    x = 34,365,425,869.44/202,130.40
  6. Step 6: Final answer
    x = 170,016.12

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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.