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Finding the Fourth Proportional to 136,737.18, 205,127.46 and 57,852

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Solution

The fourth proportional to 136,737.18, 205,127.46 and 57,852 is: 86,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,737.18 : 205,127.46 = 57,852 : x
  2. Step 2: Convert to fraction form
    136,737.18/205,127.46 = 57,852/x
  3. Step 3: Cross multiply
    136,737.18x = 205,127.46 × 57,852
  4. Step 4: Simplify right side
    136,737.18x = 11,867,033,815.92
  5. Step 5: Solve for x
    x = 11,867,033,815.92/136,737.18
  6. Step 6: Final answer
    x = 86,787.18

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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.