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Finding the Fourth Proportional to 202,295.16, 303,472.80 and 65,472.48

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Solution

The fourth proportional to 202,295.16, 303,472.80 and 65,472.48 is: 98,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,295.16 : 303,472.80 = 65,472.48 : x
  2. Step 2: Convert to fraction form
    202,295.16/303,472.80 = 65,472.48/x
  3. Step 3: Cross multiply
    202,295.16x = 303,472.80 × 65,472.48
  4. Step 4: Simplify right side
    202,295.16x = 19,869,116,828.54
  5. Step 5: Solve for x
    x = 19,869,116,828.54/202,295.16
  6. Step 6: Final answer
    x = 98,218.45

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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.