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Finding the Fourth Proportional to 183,477.14, 253,200.53 and 101,806.86

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Solution

The fourth proportional to 183,477.14, 253,200.53 and 101,806.86 is: 140,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,477.14 : 253,200.53 = 101,806.86 : x
  2. Step 2: Convert to fraction form
    183,477.14/253,200.53 = 101,806.86/x
  3. Step 3: Cross multiply
    183,477.14x = 253,200.53 × 101,806.86
  4. Step 4: Simplify right side
    183,477.14x = 25,777,550,400.60
  5. Step 5: Solve for x
    x = 25,777,550,400.60/183,477.14
  6. Step 6: Final answer
    x = 140,494.62

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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.