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Finding the Fourth Proportional to 114,307.76, 171,572.31 and 55,184.92

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Solution

The fourth proportional to 114,307.76, 171,572.31 and 55,184.92 is: 82,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,307.76 : 171,572.31 = 55,184.92 : x
  2. Step 2: Convert to fraction form
    114,307.76/171,572.31 = 55,184.92/x
  3. Step 3: Cross multiply
    114,307.76x = 171,572.31 × 55,184.92
  4. Step 4: Simplify right side
    114,307.76x = 9,468,203,772.63
  5. Step 5: Solve for x
    x = 9,468,203,772.63/114,307.76
  6. Step 6: Final answer
    x = 82,830.80

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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.