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Finding the Fourth Proportional to 202,533.80, 303,363.30 and 176,289.80

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Solution

The fourth proportional to 202,533.80, 303,363.30 and 176,289.80 is: 264,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,533.80 : 303,363.30 = 176,289.80 : x
  2. Step 2: Convert to fraction form
    202,533.80/303,363.30 = 176,289.80/x
  3. Step 3: Cross multiply
    202,533.80x = 303,363.30 × 176,289.80
  4. Step 4: Simplify right side
    202,533.80x = 53,479,855,484.34
  5. Step 5: Solve for x
    x = 53,479,855,484.34/202,533.80
  6. Step 6: Final answer
    x = 264,053.98

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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.