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Finding the Fourth Proportional to 202,289.90, 302,743.65 and 177,406.70

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Solution

The fourth proportional to 202,289.90, 302,743.65 and 177,406.70 is: 265,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,289.90 : 302,743.65 = 177,406.70 : x
  2. Step 2: Convert to fraction form
    202,289.90/302,743.65 = 177,406.70/x
  3. Step 3: Cross multiply
    202,289.90x = 302,743.65 × 177,406.70
  4. Step 4: Simplify right side
    202,289.90x = 53,708,751,892.46
  5. Step 5: Solve for x
    x = 53,708,751,892.46/202,289.90
  6. Step 6: Final answer
    x = 265,503.87

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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.