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Finding the Fourth Proportional to 197,893.98, 296,838.47 and 48,134.36

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Solution

The fourth proportional to 197,893.98, 296,838.47 and 48,134.36 is: 72,200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,893.98 : 296,838.47 = 48,134.36 : x
  2. Step 2: Convert to fraction form
    197,893.98/296,838.47 = 48,134.36/x
  3. Step 3: Cross multiply
    197,893.98x = 296,838.47 × 48,134.36
  4. Step 4: Simplify right side
    197,893.98x = 14,288,130,639.26
  5. Step 5: Solve for x
    x = 14,288,130,639.26/197,893.98
  6. Step 6: Final answer
    x = 72,200.94

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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.