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Finding the Fourth Proportional to 122,463.60, 183,695.40 and 106,911.60

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Solution

The fourth proportional to 122,463.60, 183,695.40 and 106,911.60 is: 160,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,463.60 : 183,695.40 = 106,911.60 : x
  2. Step 2: Convert to fraction form
    122,463.60/183,695.40 = 106,911.60/x
  3. Step 3: Cross multiply
    122,463.60x = 183,695.40 × 106,911.60
  4. Step 4: Simplify right side
    122,463.60x = 19,639,169,126.64
  5. Step 5: Solve for x
    x = 19,639,169,126.64/122,463.60
  6. Step 6: Final answer
    x = 160,367.40

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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.