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Finding the Fourth Proportional to 164,698.34, 247,062.10 and 46,370.71

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Solution

The fourth proportional to 164,698.34, 247,062.10 and 46,370.71 is: 69,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,698.34 : 247,062.10 = 46,370.71 : x
  2. Step 2: Convert to fraction form
    164,698.34/247,062.10 = 46,370.71/x
  3. Step 3: Cross multiply
    164,698.34x = 247,062.10 × 46,370.71
  4. Step 4: Simplify right side
    164,698.34x = 11,456,443,755.78
  5. Step 5: Solve for x
    x = 11,456,443,755.78/164,698.34
  6. Step 6: Final answer
    x = 69,560.17

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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.