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Finding the Fourth Proportional to 136,411.98, 204,588.81 and 42,896.94

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Solution

The fourth proportional to 136,411.98, 204,588.81 and 42,896.94 is: 64,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,411.98 : 204,588.81 = 42,896.94 : x
  2. Step 2: Convert to fraction form
    136,411.98/204,588.81 = 42,896.94/x
  3. Step 3: Cross multiply
    136,411.98x = 204,588.81 × 42,896.94
  4. Step 4: Simplify right side
    136,411.98x = 8,776,233,907.24
  5. Step 5: Solve for x
    x = 8,776,233,907.24/136,411.98
  6. Step 6: Final answer
    x = 64,336.24

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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.