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Finding the Fourth Proportional to 183,825.36, 275,971.37 and 156,298.32

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Solution

The fourth proportional to 183,825.36, 275,971.37 and 156,298.32 is: 234,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,825.36 : 275,971.37 = 156,298.32 : x
  2. Step 2: Convert to fraction form
    183,825.36/275,971.37 = 156,298.32/x
  3. Step 3: Cross multiply
    183,825.36x = 275,971.37 × 156,298.32
  4. Step 4: Simplify right side
    183,825.36x = 43,133,860,717.61
  5. Step 5: Solve for x
    x = 43,133,860,717.61/183,825.36
  6. Step 6: Final answer
    x = 234,645.87

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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.