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Finding the Fourth Proportional to 114,641.11, 171,953.16 and 48,078.55

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Solution

The fourth proportional to 114,641.11, 171,953.16 and 48,078.55 is: 72,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,641.11 : 171,953.16 = 48,078.55 : x
  2. Step 2: Convert to fraction form
    114,641.11/171,953.16 = 48,078.55/x
  3. Step 3: Cross multiply
    114,641.11x = 171,953.16 × 48,078.55
  4. Step 4: Simplify right side
    114,641.11x = 8,267,258,600.72
  5. Step 5: Solve for x
    x = 8,267,258,600.72/114,641.11
  6. Step 6: Final answer
    x = 72,114.26

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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.