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Finding the Fourth Proportional to 164,102.06, 246,152.97 and 39,443.06

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Solution

The fourth proportional to 164,102.06, 246,152.97 and 39,443.06 is: 59,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,102.06 : 246,152.97 = 39,443.06 : x
  2. Step 2: Convert to fraction form
    164,102.06/246,152.97 = 39,443.06/x
  3. Step 3: Cross multiply
    164,102.06x = 246,152.97 × 39,443.06
  4. Step 4: Simplify right side
    164,102.06x = 9,709,026,364.89
  5. Step 5: Solve for x
    x = 9,709,026,364.89/164,102.06
  6. Step 6: Final answer
    x = 59,164.56

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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.