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Finding the Fourth Proportional to 122,523.40, 183,785.10 and 48,651.40

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Solution

The fourth proportional to 122,523.40, 183,785.10 and 48,651.40 is: 72,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,523.40 : 183,785.10 = 48,651.40 : x
  2. Step 2: Convert to fraction form
    122,523.40/183,785.10 = 48,651.40/x
  3. Step 3: Cross multiply
    122,523.40x = 183,785.10 × 48,651.40
  4. Step 4: Simplify right side
    122,523.40x = 8,941,402,414.14
  5. Step 5: Solve for x
    x = 8,941,402,414.14/122,523.40
  6. Step 6: Final answer
    x = 72,977.10

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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.