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Finding the Fourth Proportional to 180,006.93, 270,048.60 and 61,646.49

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Solution

The fourth proportional to 180,006.93, 270,048.60 and 61,646.49 is: 92,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,006.93 : 270,048.60 = 61,646.49 : x
  2. Step 2: Convert to fraction form
    180,006.93/270,048.60 = 61,646.49/x
  3. Step 3: Cross multiply
    180,006.93x = 270,048.60 × 61,646.49
  4. Step 4: Simplify right side
    180,006.93x = 16,647,548,319.41
  5. Step 5: Solve for x
    x = 16,647,548,319.41/180,006.93
  6. Step 6: Final answer
    x = 92,482.82

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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.