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Finding the Fourth Proportional to 101,886.76, 152,780.99 and 42,706.54

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Solution

The fourth proportional to 101,886.76, 152,780.99 and 42,706.54 is: 64,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,886.76 : 152,780.99 = 42,706.54 : x
  2. Step 2: Convert to fraction form
    101,886.76/152,780.99 = 42,706.54/x
  3. Step 3: Cross multiply
    101,886.76x = 152,780.99 × 42,706.54
  4. Step 4: Simplify right side
    101,886.76x = 6,524,747,438.12
  5. Step 5: Solve for x
    x = 6,524,747,438.12/101,886.76
  6. Step 6: Final answer
    x = 64,039.21

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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.