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Finding the Fourth Proportional to 114,150.94, 171,153.51 and 54,868.66

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Solution

The fourth proportional to 114,150.94, 171,153.51 and 54,868.66 is: 82,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,150.94 : 171,153.51 = 54,868.66 : x
  2. Step 2: Convert to fraction form
    114,150.94/171,153.51 = 54,868.66/x
  3. Step 3: Cross multiply
    114,150.94x = 171,153.51 × 54,868.66
  4. Step 4: Simplify right side
    114,150.94x = 9,390,963,748.00
  5. Step 5: Solve for x
    x = 9,390,963,748.00/114,150.94
  6. Step 6: Final answer
    x = 82,267.95

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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.