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Finding the Fourth Proportional to 173,856.30, 260,784.45 and 49,197.30

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Solution

The fourth proportional to 173,856.30, 260,784.45 and 49,197.30 is: 73,795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,856.30 : 260,784.45 = 49,197.30 : x
  2. Step 2: Convert to fraction form
    173,856.30/260,784.45 = 49,197.30/x
  3. Step 3: Cross multiply
    173,856.30x = 260,784.45 × 49,197.30
  4. Step 4: Simplify right side
    173,856.30x = 12,829,890,821.99
  5. Step 5: Solve for x
    x = 12,829,890,821.99/173,856.30
  6. Step 6: Final answer
    x = 73,795.95

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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.