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Finding the Fourth Proportional to 137,858.45, 206,497.06 and 63,041.56

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Solution

The fourth proportional to 137,858.45, 206,497.06 and 63,041.56 is: 94,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,858.45 : 206,497.06 = 63,041.56 : x
  2. Step 2: Convert to fraction form
    137,858.45/206,497.06 = 63,041.56/x
  3. Step 3: Cross multiply
    137,858.45x = 206,497.06 × 63,041.56
  4. Step 4: Simplify right side
    137,858.45x = 13,017,896,123.97
  5. Step 5: Solve for x
    x = 13,017,896,123.97/137,858.45
  6. Step 6: Final answer
    x = 94,429.44

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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.