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Finding the Fourth Proportional to 176,146.60, 264,219.90 and 109,791.40

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Solution

The fourth proportional to 176,146.60, 264,219.90 and 109,791.40 is: 164,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,146.60 : 264,219.90 = 109,791.40 : x
  2. Step 2: Convert to fraction form
    176,146.60/264,219.90 = 109,791.40/x
  3. Step 3: Cross multiply
    176,146.60x = 264,219.90 × 109,791.40
  4. Step 4: Simplify right side
    176,146.60x = 29,009,072,728.86
  5. Step 5: Solve for x
    x = 29,009,072,728.86/176,146.60
  6. Step 6: Final answer
    x = 164,687.10

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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.