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Finding the Fourth Proportional to 144,283.43, 216,236.44 and 77,579.93

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Solution

The fourth proportional to 144,283.43, 216,236.44 and 77,579.93 is: 116,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,283.43 : 216,236.44 = 77,579.93 : x
  2. Step 2: Convert to fraction form
    144,283.43/216,236.44 = 77,579.93/x
  3. Step 3: Cross multiply
    144,283.43x = 216,236.44 × 77,579.93
  4. Step 4: Simplify right side
    144,283.43x = 16,775,606,863.50
  5. Step 5: Solve for x
    x = 16,775,606,863.50/144,283.43
  6. Step 6: Final answer
    x = 116,268.43

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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.