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Finding the Fourth Proportional to 176,570.70, 264,856.05 and 105,711.90

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Solution

The fourth proportional to 176,570.70, 264,856.05 and 105,711.90 is: 158,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,570.70 : 264,856.05 = 105,711.90 : x
  2. Step 2: Convert to fraction form
    176,570.70/264,856.05 = 105,711.90/x
  3. Step 3: Cross multiply
    176,570.70x = 264,856.05 × 105,711.90
  4. Step 4: Simplify right side
    176,570.70x = 27,998,436,272.00
  5. Step 5: Solve for x
    x = 27,998,436,272.00/176,570.70
  6. Step 6: Final answer
    x = 158,567.85

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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.