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Finding the Fourth Proportional to 202,339.40, 302,817.90 and 177,456.20

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Solution

The fourth proportional to 202,339.40, 302,817.90 and 177,456.20 is: 265,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,339.40 : 302,817.90 = 177,456.20 : x
  2. Step 2: Convert to fraction form
    202,339.40/302,817.90 = 177,456.20/x
  3. Step 3: Cross multiply
    202,339.40x = 302,817.90 × 177,456.20
  4. Step 4: Simplify right side
    202,339.40x = 53,736,913,825.98
  5. Step 5: Solve for x
    x = 53,736,913,825.98/202,339.40
  6. Step 6: Final answer
    x = 265,578.10

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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.