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Finding the Fourth Proportional to 142,437.69, 196,556.02 and 77,894.10

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Solution

The fourth proportional to 142,437.69, 196,556.02 and 77,894.10 is: 107,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,437.69 : 196,556.02 = 77,894.10 : x
  2. Step 2: Convert to fraction form
    142,437.69/196,556.02 = 77,894.10/x
  3. Step 3: Cross multiply
    142,437.69x = 196,556.02 × 77,894.10
  4. Step 4: Simplify right side
    142,437.69x = 15,310,554,082.75
  5. Step 5: Solve for x
    x = 15,310,554,082.75/142,437.69
  6. Step 6: Final answer
    x = 107,489.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.