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Finding the Fourth Proportional to 114,551.84, 171,843.38 and 66,543.00

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Solution

The fourth proportional to 114,551.84, 171,843.38 and 66,543.00 is: 99,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,551.84 : 171,843.38 = 66,543.00 : x
  2. Step 2: Convert to fraction form
    114,551.84/171,843.38 = 66,543.00/x
  3. Step 3: Cross multiply
    114,551.84x = 171,843.38 × 66,543.00
  4. Step 4: Simplify right side
    114,551.84x = 11,434,974,461.52
  5. Step 5: Solve for x
    x = 11,434,974,461.52/114,551.84
  6. Step 6: Final answer
    x = 99,823.58

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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.