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Finding the Fourth Proportional to 164,092.47, 246,138.71 and 51,784.05

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Solution

The fourth proportional to 164,092.47, 246,138.71 and 51,784.05 is: 77,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,092.47 : 246,138.71 = 51,784.05 : x
  2. Step 2: Convert to fraction form
    164,092.47/246,138.71 = 51,784.05/x
  3. Step 3: Cross multiply
    164,092.47x = 246,138.71 × 51,784.05
  4. Step 4: Simplify right side
    164,092.47x = 12,746,059,006.66
  5. Step 5: Solve for x
    x = 12,746,059,006.66/164,092.47
  6. Step 6: Final answer
    x = 77,676.08

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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.