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Finding the Fourth Proportional to 183,816.62, 253,647.37 and 103,253

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Solution

The fourth proportional to 183,816.62, 253,647.37 and 103,253 is: 142,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,816.62 : 253,647.37 = 103,253 : x
  2. Step 2: Convert to fraction form
    183,816.62/253,647.37 = 103,253/x
  3. Step 3: Cross multiply
    183,816.62x = 253,647.37 × 103,253
  4. Step 4: Simplify right side
    183,816.62x = 26,189,851,894.61
  5. Step 5: Solve for x
    x = 26,189,851,894.61/183,816.62
  6. Step 6: Final answer
    x = 142,478.15

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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.