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Finding the Fourth Proportional to 164,761.67, 247,142.43 and 46,417.56

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Solution

The fourth proportional to 164,761.67, 247,142.43 and 46,417.56 is: 69,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,761.67 : 247,142.43 = 46,417.56 : x
  2. Step 2: Convert to fraction form
    164,761.67/247,142.43 = 46,417.56/x
  3. Step 3: Cross multiply
    164,761.67x = 247,142.43 × 46,417.56
  4. Step 4: Simplify right side
    164,761.67x = 11,471,748,573.07
  5. Step 5: Solve for x
    x = 11,471,748,573.07/164,761.67
  6. Step 6: Final answer
    x = 69,626.32

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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.