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Finding the Fourth Proportional to 164,902.91, 247,361.65 and 46,583.51

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Solution

The fourth proportional to 164,902.91, 247,361.65 and 46,583.51 is: 69,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,902.91 : 247,361.65 = 46,583.51 : x
  2. Step 2: Convert to fraction form
    164,902.91/247,361.65 = 46,583.51/x
  3. Step 3: Cross multiply
    164,902.91x = 247,361.65 × 46,583.51
  4. Step 4: Simplify right side
    164,902.91x = 11,522,972,543.12
  5. Step 5: Solve for x
    x = 11,522,972,543.12/164,902.91
  6. Step 6: Final answer
    x = 69,877.32

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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.