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Finding the Fourth Proportional to 142,506.70, 213,760.05 and 37,336.30

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Solution

The fourth proportional to 142,506.70, 213,760.05 and 37,336.30 is: 56,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,506.70 : 213,760.05 = 37,336.30 : x
  2. Step 2: Convert to fraction form
    142,506.70/213,760.05 = 37,336.30/x
  3. Step 3: Cross multiply
    142,506.70x = 213,760.05 × 37,336.30
  4. Step 4: Simplify right side
    142,506.70x = 7,981,009,354.82
  5. Step 5: Solve for x
    x = 7,981,009,354.82/142,506.70
  6. Step 6: Final answer
    x = 56,004.45

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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.