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Finding the Fourth Proportional to 122,393.64, 183,491.64 and 47,475.12

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Solution

The fourth proportional to 122,393.64, 183,491.64 and 47,475.12 is: 71,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,393.64 : 183,491.64 = 47,475.12 : x
  2. Step 2: Convert to fraction form
    122,393.64/183,491.64 = 47,475.12/x
  3. Step 3: Cross multiply
    122,393.64x = 183,491.64 × 47,475.12
  4. Step 4: Simplify right side
    122,393.64x = 8,711,287,628.00
  5. Step 5: Solve for x
    x = 8,711,287,628.00/122,393.64
  6. Step 6: Final answer
    x = 71,174.35

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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.