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Finding the Fourth Proportional to 142,709.38, 214,074.02 and 57,320.26

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Solution

The fourth proportional to 142,709.38, 214,074.02 and 57,320.26 is: 85,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,709.38 : 214,074.02 = 57,320.26 : x
  2. Step 2: Convert to fraction form
    142,709.38/214,074.02 = 57,320.26/x
  3. Step 3: Cross multiply
    142,709.38x = 214,074.02 × 57,320.26
  4. Step 4: Simplify right side
    142,709.38x = 12,270,778,093.76
  5. Step 5: Solve for x
    x = 12,270,778,093.76/142,709.38
  6. Step 6: Final answer
    x = 85,984.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.