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Finding the Fourth Proportional to 180,222, 248,685.20 and 99,644.72

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Solution

The fourth proportional to 180,222, 248,685.20 and 99,644.72 is: 137,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,222 : 248,685.20 = 99,644.72 : x
  2. Step 2: Convert to fraction form
    180,222/248,685.20 = 99,644.72/x
  3. Step 3: Cross multiply
    180,222x = 248,685.20 × 99,644.72
  4. Step 4: Simplify right side
    180,222x = 24,780,167,122.14
  5. Step 5: Solve for x
    x = 24,780,167,122.14/180,222
  6. Step 6: Final answer
    x = 137,498.01

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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.