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Finding the Fourth Proportional to 183,693.48, 275,569.02 and 78,513

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Solution

The fourth proportional to 183,693.48, 275,569.02 and 78,513 is: 117,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,693.48 : 275,569.02 = 78,513 : x
  2. Step 2: Convert to fraction form
    183,693.48/275,569.02 = 78,513/x
  3. Step 3: Cross multiply
    183,693.48x = 275,569.02 × 78,513
  4. Step 4: Simplify right side
    183,693.48x = 21,635,750,467.26
  5. Step 5: Solve for x
    x = 21,635,750,467.26/183,693.48
  6. Step 6: Final answer
    x = 117,781.81

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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.