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Finding the Fourth Proportional to 128,906.48, 193,130.84 and 53,861.42

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Solution

The fourth proportional to 128,906.48, 193,130.84 and 53,861.42 is: 80,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,906.48 : 193,130.84 = 53,861.42 : x
  2. Step 2: Convert to fraction form
    128,906.48/193,130.84 = 53,861.42/x
  3. Step 3: Cross multiply
    128,906.48x = 193,130.84 × 53,861.42
  4. Step 4: Simplify right side
    128,906.48x = 10,402,301,288.19
  5. Step 5: Solve for x
    x = 10,402,301,288.19/128,906.48
  6. Step 6: Final answer
    x = 80,696.50

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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.