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Finding the Fourth Proportional to 118,650.42, 178,041.24 and 48,578.94

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Solution

The fourth proportional to 118,650.42, 178,041.24 and 48,578.94 is: 72,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,650.42 : 178,041.24 = 48,578.94 : x
  2. Step 2: Convert to fraction form
    118,650.42/178,041.24 = 48,578.94/x
  3. Step 3: Cross multiply
    118,650.42x = 178,041.24 × 48,578.94
  4. Step 4: Simplify right side
    118,650.42x = 8,649,054,715.49
  5. Step 5: Solve for x
    x = 8,649,054,715.49/118,650.42
  6. Step 6: Final answer
    x = 72,895.27

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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.