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Finding the Fourth Proportional to 259,356.48, 357,913.97 and 144,642.52

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Solution

The fourth proportional to 259,356.48, 357,913.97 and 144,642.52 is: 199,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,356.48 : 357,913.97 = 144,642.52 : x
  2. Step 2: Convert to fraction form
    259,356.48/357,913.97 = 144,642.52/x
  3. Step 3: Cross multiply
    259,356.48x = 357,913.97 × 144,642.52
  4. Step 4: Simplify right side
    259,356.48x = 51,769,578,564.00
  5. Step 5: Solve for x
    x = 51,769,578,564.00/259,356.48
  6. Step 6: Final answer
    x = 199,607.81

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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.