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Finding the Fourth Proportional to 202,502.48, 279,468.74 and 116,487.80

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Solution

The fourth proportional to 202,502.48, 279,468.74 and 116,487.80 is: 160,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,502.48 : 279,468.74 = 116,487.80 : x
  2. Step 2: Convert to fraction form
    202,502.48/279,468.74 = 116,487.80/x
  3. Step 3: Cross multiply
    202,502.48x = 279,468.74 × 116,487.80
  4. Step 4: Simplify right side
    202,502.48x = 32,554,698,691.37
  5. Step 5: Solve for x
    x = 32,554,698,691.37/202,502.48
  6. Step 6: Final answer
    x = 160,761.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.