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Finding the Fourth Proportional to 133,216.84, 183,830.40 and 75,862

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Solution

The fourth proportional to 133,216.84, 183,830.40 and 75,862 is: 104,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,216.84 : 183,830.40 = 75,862 : x
  2. Step 2: Convert to fraction form
    133,216.84/183,830.40 = 75,862/x
  3. Step 3: Cross multiply
    133,216.84x = 183,830.40 × 75,862
  4. Step 4: Simplify right side
    133,216.84x = 13,945,741,804.80
  5. Step 5: Solve for x
    x = 13,945,741,804.80/133,216.84
  6. Step 6: Final answer
    x = 104,684.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.