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Finding the Fourth Proportional to 123,041.85, 184,578.16 and 48,152.32

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Solution

The fourth proportional to 123,041.85, 184,578.16 and 48,152.32 is: 72,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,041.85 : 184,578.16 = 48,152.32 : x
  2. Step 2: Convert to fraction form
    123,041.85/184,578.16 = 48,152.32/x
  3. Step 3: Cross multiply
    123,041.85x = 184,578.16 × 48,152.32
  4. Step 4: Simplify right side
    123,041.85x = 8,887,866,224.08
  5. Step 5: Solve for x
    x = 8,887,866,224.08/123,041.85
  6. Step 6: Final answer
    x = 72,234.50

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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.