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Finding the Fourth Proportional to 142,055.57, 196,041.40 and 77,528.34

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Solution

The fourth proportional to 142,055.57, 196,041.40 and 77,528.34 is: 106,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,055.57 : 196,041.40 = 77,528.34 : x
  2. Step 2: Convert to fraction form
    142,055.57/196,041.40 = 77,528.34/x
  3. Step 3: Cross multiply
    142,055.57x = 196,041.40 × 77,528.34
  4. Step 4: Simplify right side
    142,055.57x = 15,198,764,313.28
  5. Step 5: Solve for x
    x = 15,198,764,313.28/142,055.57
  6. Step 6: Final answer
    x = 106,991.68

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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.