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Finding the Fourth Proportional to 174,197.82, 261,322.71 and 61,868.61

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Solution

The fourth proportional to 174,197.82, 261,322.71 and 61,868.61 is: 92,812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,197.82 : 261,322.71 = 61,868.61 : x
  2. Step 2: Convert to fraction form
    174,197.82/261,322.71 = 61,868.61/x
  3. Step 3: Cross multiply
    174,197.82x = 261,322.71 × 61,868.61
  4. Step 4: Simplify right side
    174,197.82x = 16,167,672,597.13
  5. Step 5: Solve for x
    x = 16,167,672,597.13/174,197.82
  6. Step 6: Final answer
    x = 92,812.14

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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.