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Finding the Fourth Proportional to 202,155.70, 302,832.60 and 177,223.90

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Solution

The fourth proportional to 202,155.70, 302,832.60 and 177,223.90 is: 265,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,155.70 : 302,832.60 = 177,223.90 : x
  2. Step 2: Convert to fraction form
    202,155.70/302,832.60 = 177,223.90/x
  3. Step 3: Cross multiply
    202,155.70x = 302,832.60 × 177,223.90
  4. Step 4: Simplify right side
    202,155.70x = 53,669,174,419.14
  5. Step 5: Solve for x
    x = 53,669,174,419.14/202,155.70
  6. Step 6: Final answer
    x = 265,484.35

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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.