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Finding the Fourth Proportional to 202,155.20, 302,997 and 152,074.26

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Solution

The fourth proportional to 202,155.20, 302,997 and 152,074.26 is: 227,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,155.20 : 302,997 = 152,074.26 : x
  2. Step 2: Convert to fraction form
    202,155.20/302,997 = 152,074.26/x
  3. Step 3: Cross multiply
    202,155.20x = 302,997 × 152,074.26
  4. Step 4: Simplify right side
    202,155.20x = 46,078,044,557.22
  5. Step 5: Solve for x
    x = 46,078,044,557.22/202,155.20
  6. Step 6: Final answer
    x = 227,934.01

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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.