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Finding the Fourth Proportional to 164,102.88, 246,154.30 and 39,443.88

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Solution

The fourth proportional to 164,102.88, 246,154.30 and 39,443.88 is: 59,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,102.88 : 246,154.30 = 39,443.88 : x
  2. Step 2: Convert to fraction form
    164,102.88/246,154.30 = 39,443.88/x
  3. Step 3: Cross multiply
    164,102.88x = 246,154.30 × 39,443.88
  4. Step 4: Simplify right side
    164,102.88x = 9,709,280,670.68
  5. Step 5: Solve for x
    x = 9,709,280,670.68/164,102.88
  6. Step 6: Final answer
    x = 59,165.82

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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.