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Finding the Fourth Proportional to 164,569.95, 246,854.93 and 137,997.90

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Solution

The fourth proportional to 164,569.95, 246,854.93 and 137,997.90 is: 206,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,569.95 : 246,854.93 = 137,997.90 : x
  2. Step 2: Convert to fraction form
    164,569.95/246,854.93 = 137,997.90/x
  3. Step 3: Cross multiply
    164,569.95x = 246,854.93 × 137,997.90
  4. Step 4: Simplify right side
    164,569.95x = 34,065,461,254.66
  5. Step 5: Solve for x
    x = 34,065,461,254.66/164,569.95
  6. Step 6: Final answer
    x = 206,996.85

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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.