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Finding the Fourth Proportional to 165,147.95, 247,721.47 and 46,820.32

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Solution

The fourth proportional to 165,147.95, 247,721.47 and 46,820.32 is: 70,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,147.95 : 247,721.47 = 46,820.32 : x
  2. Step 2: Convert to fraction form
    165,147.95/247,721.47 = 46,820.32/x
  3. Step 3: Cross multiply
    165,147.95x = 247,721.47 × 46,820.32
  4. Step 4: Simplify right side
    165,147.95x = 11,598,398,496.27
  5. Step 5: Solve for x
    x = 11,598,398,496.27/165,147.95
  6. Step 6: Final answer
    x = 70,230.35

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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.