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Finding the Fourth Proportional to 99,706.12, 137,592.26 and 54,994.12

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Solution

The fourth proportional to 99,706.12, 137,592.26 and 54,994.12 is: 75,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,706.12 : 137,592.26 = 54,994.12 : x
  2. Step 2: Convert to fraction form
    99,706.12/137,592.26 = 54,994.12/x
  3. Step 3: Cross multiply
    99,706.12x = 137,592.26 × 54,994.12
  4. Step 4: Simplify right side
    99,706.12x = 7,566,765,257.51
  5. Step 5: Solve for x
    x = 7,566,765,257.51/99,706.12
  6. Step 6: Final answer
    x = 75,890.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.