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Finding the Fourth Proportional to 137,074.10, 205,611.15 and 105,931.70

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Solution

The fourth proportional to 137,074.10, 205,611.15 and 105,931.70 is: 158,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,074.10 : 205,611.15 = 105,931.70 : x
  2. Step 2: Convert to fraction form
    137,074.10/205,611.15 = 105,931.70/x
  3. Step 3: Cross multiply
    137,074.10x = 205,611.15 × 105,931.70
  4. Step 4: Simplify right side
    137,074.10x = 21,780,738,658.46
  5. Step 5: Solve for x
    x = 21,780,738,658.46/137,074.10
  6. Step 6: Final answer
    x = 158,897.55

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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.