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Finding the Fourth Proportional to 114,536.94, 171,484.85 and 86,368.83

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Solution

The fourth proportional to 114,536.94, 171,484.85 and 86,368.83 is: 129,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,536.94 : 171,484.85 = 86,368.83 : x
  2. Step 2: Convert to fraction form
    114,536.94/171,484.85 = 86,368.83/x
  3. Step 3: Cross multiply
    114,536.94x = 171,484.85 × 86,368.83
  4. Step 4: Simplify right side
    114,536.94x = 14,810,945,908.86
  5. Step 5: Solve for x
    x = 14,810,945,908.86/114,536.94
  6. Step 6: Final answer
    x = 129,311.53

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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.