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Finding the Fourth Proportional to 142,268.84, 213,352.06 and 48,749.48

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Solution

The fourth proportional to 142,268.84, 213,352.06 and 48,749.48 is: 73,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,268.84 : 213,352.06 = 48,749.48 : x
  2. Step 2: Convert to fraction form
    142,268.84/213,352.06 = 48,749.48/x
  3. Step 3: Cross multiply
    142,268.84x = 213,352.06 × 48,749.48
  4. Step 4: Simplify right side
    142,268.84x = 10,400,801,981.93
  5. Step 5: Solve for x
    x = 10,400,801,981.93/142,268.84
  6. Step 6: Final answer
    x = 73,106.68

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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.