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Finding the Fourth Proportional to 252,989.51, 349,174.26 and 162,459.86

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Solution

The fourth proportional to 252,989.51, 349,174.26 and 162,459.86 is: 224,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,989.51 : 349,174.26 = 162,459.86 : x
  2. Step 2: Convert to fraction form
    252,989.51/349,174.26 = 162,459.86/x
  3. Step 3: Cross multiply
    252,989.51x = 349,174.26 × 162,459.86
  4. Step 4: Simplify right side
    252,989.51x = 56,726,801,395.20
  5. Step 5: Solve for x
    x = 56,726,801,395.20/252,989.51
  6. Step 6: Final answer
    x = 224,225.90

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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.