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Finding the Fourth Proportional to 180,385.84, 270,570.66 and 62,057.80

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Solution

The fourth proportional to 180,385.84, 270,570.66 and 62,057.80 is: 93,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,385.84 : 270,570.66 = 62,057.80 : x
  2. Step 2: Convert to fraction form
    180,385.84/270,570.66 = 62,057.80/x
  3. Step 3: Cross multiply
    180,385.84x = 270,570.66 × 62,057.80
  4. Step 4: Simplify right side
    180,385.84x = 16,791,019,904.15
  5. Step 5: Solve for x
    x = 16,791,019,904.15/180,385.84
  6. Step 6: Final answer
    x = 93,083.91

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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.