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Finding the Fourth Proportional to 197,959.90, 296,935.62 and 48,200.98

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Solution

The fourth proportional to 197,959.90, 296,935.62 and 48,200.98 is: 72,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,959.90 : 296,935.62 = 48,200.98 : x
  2. Step 2: Convert to fraction form
    197,959.90/296,935.62 = 48,200.98/x
  3. Step 3: Cross multiply
    197,959.90x = 296,935.62 × 48,200.98
  4. Step 4: Simplify right side
    197,959.90x = 14,312,587,880.91
  5. Step 5: Solve for x
    x = 14,312,587,880.91/197,959.90
  6. Step 6: Final answer
    x = 72,300.44

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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.