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Finding the Fourth Proportional to 114,149.94, 171,152.01 and 54,867.66

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Solution

The fourth proportional to 114,149.94, 171,152.01 and 54,867.66 is: 82,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,149.94 : 171,152.01 = 54,867.66 : x
  2. Step 2: Convert to fraction form
    114,149.94/171,152.01 = 54,867.66/x
  3. Step 3: Cross multiply
    114,149.94x = 171,152.01 × 54,867.66
  4. Step 4: Simplify right side
    114,149.94x = 9,390,710,293.00
  5. Step 5: Solve for x
    x = 9,390,710,293.00/114,149.94
  6. Step 6: Final answer
    x = 82,266.45

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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.