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Finding the Fourth Proportional to 183,973.48, 276,047.34 and 77,380.77

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Solution

The fourth proportional to 183,973.48, 276,047.34 and 77,380.77 is: 116,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,973.48 : 276,047.34 = 77,380.77 : x
  2. Step 2: Convert to fraction form
    183,973.48/276,047.34 = 77,380.77/x
  3. Step 3: Cross multiply
    183,973.48x = 276,047.34 × 77,380.77
  4. Step 4: Simplify right side
    183,973.48x = 21,360,755,353.15
  5. Step 5: Solve for x
    x = 21,360,755,353.15/183,973.48
  6. Step 6: Final answer
    x = 116,107.80

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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.