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Finding the Fourth Proportional to 183,813.72, 253,645.02 and 103,222.92

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Solution

The fourth proportional to 183,813.72, 253,645.02 and 103,222.92 is: 142,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,813.72 : 253,645.02 = 103,222.92 : x
  2. Step 2: Convert to fraction form
    183,813.72/253,645.02 = 103,222.92/x
  3. Step 3: Cross multiply
    183,813.72x = 253,645.02 × 103,222.92
  4. Step 4: Simplify right side
    183,813.72x = 26,181,979,607.86
  5. Step 5: Solve for x
    x = 26,181,979,607.86/183,813.72
  6. Step 6: Final answer
    x = 142,437.57

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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.