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Finding the Fourth Proportional to 202,155.20, 302,649.60 and 202,155.20

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Solution

The fourth proportional to 202,155.20, 302,649.60 and 202,155.20 is: 302,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,155.20 : 302,649.60 = 202,155.20 : x
  2. Step 2: Convert to fraction form
    202,155.20/302,649.60 = 202,155.20/x
  3. Step 3: Cross multiply
    202,155.20x = 302,649.60 × 202,155.20
  4. Step 4: Simplify right side
    202,155.20x = 61,182,190,417.92
  5. Step 5: Solve for x
    x = 61,182,190,417.92/202,155.20
  6. Step 6: Final answer
    x = 302,649.60

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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.