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Finding the Fourth Proportional to 202,645.73, 303,973.80 and 96,004.71

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Solution

The fourth proportional to 202,645.73, 303,973.80 and 96,004.71 is: 144,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,645.73 : 303,973.80 = 96,004.71 : x
  2. Step 2: Convert to fraction form
    202,645.73/303,973.80 = 96,004.71/x
  3. Step 3: Cross multiply
    202,645.73x = 303,973.80 × 96,004.71
  4. Step 4: Simplify right side
    202,645.73x = 29,182,916,156.58
  5. Step 5: Solve for x
    x = 29,182,916,156.58/202,645.73
  6. Step 6: Final answer
    x = 144,009.53

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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.