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Finding the Fourth Proportional to 202,157.70, 302,835.60 and 177,225.90

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Solution

The fourth proportional to 202,157.70, 302,835.60 and 177,225.90 is: 265,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,157.70 : 302,835.60 = 177,225.90 : x
  2. Step 2: Convert to fraction form
    202,157.70/302,835.60 = 177,225.90/x
  3. Step 3: Cross multiply
    202,157.70x = 302,835.60 × 177,225.90
  4. Step 4: Simplify right side
    202,157.70x = 53,670,311,762.04
  5. Step 5: Solve for x
    x = 53,670,311,762.04/202,157.70
  6. Step 6: Final answer
    x = 265,487.35

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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.