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Finding the Fourth Proportional to 202,262.40, 302,702.40 and 177,379.20

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Solution

The fourth proportional to 202,262.40, 302,702.40 and 177,379.20 is: 265,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,262.40 : 302,702.40 = 177,379.20 : x
  2. Step 2: Convert to fraction form
    202,262.40/302,702.40 = 177,379.20/x
  3. Step 3: Cross multiply
    202,262.40x = 302,702.40 × 177,379.20
  4. Step 4: Simplify right side
    202,262.40x = 53,693,109,550.08
  5. Step 5: Solve for x
    x = 53,693,109,550.08/202,262.40
  6. Step 6: Final answer
    x = 265,462.63

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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.