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Finding the Fourth Proportional to 218,478.52, 301,476.90 and 122,983.48

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Solution

The fourth proportional to 218,478.52, 301,476.90 and 122,983.48 is: 169,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,478.52 : 301,476.90 = 122,983.48 : x
  2. Step 2: Convert to fraction form
    218,478.52/301,476.90 = 122,983.48/x
  3. Step 3: Cross multiply
    218,478.52x = 301,476.90 × 122,983.48
  4. Step 4: Simplify right side
    218,478.52x = 37,076,678,301.61
  5. Step 5: Solve for x
    x = 37,076,678,301.61/218,478.52
  6. Step 6: Final answer
    x = 169,704.00

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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.