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Finding the Fourth Proportional to 180,007.94, 270,050.10 and 61,647.50

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Solution

The fourth proportional to 180,007.94, 270,050.10 and 61,647.50 is: 92,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,007.94 : 270,050.10 = 61,647.50 : x
  2. Step 2: Convert to fraction form
    180,007.94/270,050.10 = 61,647.50/x
  3. Step 3: Cross multiply
    180,007.94x = 270,050.10 × 61,647.50
  4. Step 4: Simplify right side
    180,007.94x = 16,647,913,539.75
  5. Step 5: Solve for x
    x = 16,647,913,539.75/180,007.94
  6. Step 6: Final answer
    x = 92,484.33

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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.