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Finding the Fourth Proportional to 183,828.24, 275,978.49 and 141,735.06

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Solution

The fourth proportional to 183,828.24, 275,978.49 and 141,735.06 is: 212,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,828.24 : 275,978.49 = 141,735.06 : x
  2. Step 2: Convert to fraction form
    183,828.24/275,978.49 = 141,735.06/x
  3. Step 3: Cross multiply
    183,828.24x = 275,978.49 × 141,735.06
  4. Step 4: Simplify right side
    183,828.24x = 39,115,827,838.86
  5. Step 5: Solve for x
    x = 39,115,827,838.86/183,828.24
  6. Step 6: Final answer
    x = 212,784.65

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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.