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Finding the Fourth Proportional to 162,347.21, 223,894.09 and 101,923.48

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Solution

The fourth proportional to 162,347.21, 223,894.09 and 101,923.48 is: 140,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,347.21 : 223,894.09 = 101,923.48 : x
  2. Step 2: Convert to fraction form
    162,347.21/223,894.09 = 101,923.48/x
  3. Step 3: Cross multiply
    162,347.21x = 223,894.09 × 101,923.48
  4. Step 4: Simplify right side
    162,347.21x = 22,820,064,804.23
  5. Step 5: Solve for x
    x = 22,820,064,804.23/162,347.21
  6. Step 6: Final answer
    x = 140,563.33

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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.