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Finding the Fourth Proportional to 162,765.93, 224,694.83 and 108,408.50

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Solution

The fourth proportional to 162,765.93, 224,694.83 and 108,408.50 is: 149,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,765.93 : 224,694.83 = 108,408.50 : x
  2. Step 2: Convert to fraction form
    162,765.93/224,694.83 = 108,408.50/x
  3. Step 3: Cross multiply
    162,765.93x = 224,694.83 × 108,408.50
  4. Step 4: Simplify right side
    162,765.93x = 24,358,829,478.06
  5. Step 5: Solve for x
    x = 24,358,829,478.06/162,765.93
  6. Step 6: Final answer
    x = 149,655.58

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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.