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Finding the Fourth Proportional to 142,263.90, 213,408 and 37,082.70

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Solution

The fourth proportional to 142,263.90, 213,408 and 37,082.70 is: 55,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,263.90 : 213,408 = 37,082.70 : x
  2. Step 2: Convert to fraction form
    142,263.90/213,408 = 37,082.70/x
  3. Step 3: Cross multiply
    142,263.90x = 213,408 × 37,082.70
  4. Step 4: Simplify right side
    142,263.90x = 7,913,744,841.60
  5. Step 5: Solve for x
    x = 7,913,744,841.60/142,263.90
  6. Step 6: Final answer
    x = 55,627.22

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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.