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Finding the Fourth Proportional to 283,218.32, 424,126.68 and 164,529.68

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Solution

The fourth proportional to 283,218.32, 424,126.68 and 164,529.68 is: 246,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,218.32 : 424,126.68 = 164,529.68 : x
  2. Step 2: Convert to fraction form
    283,218.32/424,126.68 = 164,529.68/x
  3. Step 3: Cross multiply
    283,218.32x = 424,126.68 × 164,529.68
  4. Step 4: Simplify right side
    283,218.32x = 69,781,426,939.86
  5. Step 5: Solve for x
    x = 69,781,426,939.86/283,218.32
  6. Step 6: Final answer
    x = 246,387.41

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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.