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Finding the Fourth Proportional to 162,348.21, 223,895.47 and 101,924.48

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Solution

The fourth proportional to 162,348.21, 223,895.47 and 101,924.48 is: 140,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,348.21 : 223,895.47 = 101,924.48 : x
  2. Step 2: Convert to fraction form
    162,348.21/223,895.47 = 101,924.48/x
  3. Step 3: Cross multiply
    162,348.21x = 223,895.47 × 101,924.48
  4. Step 4: Simplify right side
    162,348.21x = 22,820,429,354.11
  5. Step 5: Solve for x
    x = 22,820,429,354.11/162,348.21
  6. Step 6: Final answer
    x = 140,564.71

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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.