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Finding the Fourth Proportional to 183,622.41, 253,400.81 and 101,952

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Solution

The fourth proportional to 183,622.41, 253,400.81 and 101,952 is: 140,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,622.41 : 253,400.81 = 101,952 : x
  2. Step 2: Convert to fraction form
    183,622.41/253,400.81 = 101,952/x
  3. Step 3: Cross multiply
    183,622.41x = 253,400.81 × 101,952
  4. Step 4: Simplify right side
    183,622.41x = 25,834,718,871.36
  5. Step 5: Solve for x
    x = 25,834,718,871.36/183,622.41
  6. Step 6: Final answer
    x = 140,694.80

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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.