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Finding the Fourth Proportional to 176,894.40, 264,650.40 and 114,686.40

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Solution

The fourth proportional to 176,894.40, 264,650.40 and 114,686.40 is: 171,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,894.40 : 264,650.40 = 114,686.40 : x
  2. Step 2: Convert to fraction form
    176,894.40/264,650.40 = 114,686.40/x
  3. Step 3: Cross multiply
    176,894.40x = 264,650.40 × 114,686.40
  4. Step 4: Simplify right side
    176,894.40x = 30,351,801,634.56
  5. Step 5: Solve for x
    x = 30,351,801,634.56/176,894.40
  6. Step 6: Final answer
    x = 171,581.47

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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.