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Finding the Fourth Proportional to 142,410.60, 213,597.36 and 37,237.68

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Solution

The fourth proportional to 142,410.60, 213,597.36 and 37,237.68 is: 55,851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,410.60 : 213,597.36 = 37,237.68 : x
  2. Step 2: Convert to fraction form
    142,410.60/213,597.36 = 37,237.68/x
  3. Step 3: Cross multiply
    142,410.60x = 213,597.36 × 37,237.68
  4. Step 4: Simplify right side
    142,410.60x = 7,953,870,140.52
  5. Step 5: Solve for x
    x = 7,953,870,140.52/142,410.60
  6. Step 6: Final answer
    x = 55,851.67

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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.