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Finding the Fourth Proportional to 202,275.20, 303,412.80 and 123,543.20

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Solution

The fourth proportional to 202,275.20, 303,412.80 and 123,543.20 is: 185,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,275.20 : 303,412.80 = 123,543.20 : x
  2. Step 2: Convert to fraction form
    202,275.20/303,412.80 = 123,543.20/x
  3. Step 3: Cross multiply
    202,275.20x = 303,412.80 × 123,543.20
  4. Step 4: Simplify right side
    202,275.20x = 37,484,588,232.96
  5. Step 5: Solve for x
    x = 37,484,588,232.96/202,275.20
  6. Step 6: Final answer
    x = 185,314.80

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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.