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Finding the Fourth Proportional to 176,634.34, 264,951.51 and 102,710.50

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Solution

The fourth proportional to 176,634.34, 264,951.51 and 102,710.50 is: 154,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,634.34 : 264,951.51 = 102,710.50 : x
  2. Step 2: Convert to fraction form
    176,634.34/264,951.51 = 102,710.50/x
  3. Step 3: Cross multiply
    176,634.34x = 264,951.51 × 102,710.50
  4. Step 4: Simplify right side
    176,634.34x = 27,213,302,067.86
  5. Step 5: Solve for x
    x = 27,213,302,067.86/176,634.34
  6. Step 6: Final answer
    x = 154,065.75

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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.