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Finding the Fourth Proportional to 197,894.61, 273,046.98 and 117,341.94

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Solution

The fourth proportional to 197,894.61, 273,046.98 and 117,341.94 is: 161,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,894.61 : 273,046.98 = 117,341.94 : x
  2. Step 2: Convert to fraction form
    197,894.61/273,046.98 = 117,341.94/x
  3. Step 3: Cross multiply
    197,894.61x = 273,046.98 × 117,341.94
  4. Step 4: Simplify right side
    197,894.61x = 32,039,862,344.34
  5. Step 5: Solve for x
    x = 32,039,862,344.34/197,894.61
  6. Step 6: Final answer
    x = 161,903.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.