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Finding the Fourth Proportional to 165,158.46, 247,747.11 and 46,820.50

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Solution

The fourth proportional to 165,158.46, 247,747.11 and 46,820.50 is: 70,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,158.46 : 247,747.11 = 46,820.50 : x
  2. Step 2: Convert to fraction form
    165,158.46/247,747.11 = 46,820.50/x
  3. Step 3: Cross multiply
    165,158.46x = 247,747.11 × 46,820.50
  4. Step 4: Simplify right side
    165,158.46x = 11,599,643,563.76
  5. Step 5: Solve for x
    x = 11,599,643,563.76/165,158.46
  6. Step 6: Final answer
    x = 70,233.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.