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Finding the Fourth Proportional to 176,944.80, 264,812.40 and 106,874.40

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Solution

The fourth proportional to 176,944.80, 264,812.40 and 106,874.40 is: 159,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,944.80 : 264,812.40 = 106,874.40 : x
  2. Step 2: Convert to fraction form
    176,944.80/264,812.40 = 106,874.40/x
  3. Step 3: Cross multiply
    176,944.80x = 264,812.40 × 106,874.40
  4. Step 4: Simplify right side
    176,944.80x = 28,301,666,362.56
  5. Step 5: Solve for x
    x = 28,301,666,362.56/176,944.80
  6. Step 6: Final answer
    x = 159,946.30

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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.