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Finding the Fourth Proportional to 142,849.44, 214,256.88 and 37,676.34

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Solution

The fourth proportional to 142,849.44, 214,256.88 and 37,676.34 is: 56,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,849.44 : 214,256.88 = 37,676.34 : x
  2. Step 2: Convert to fraction form
    142,849.44/214,256.88 = 37,676.34/x
  3. Step 3: Cross multiply
    142,849.44x = 214,256.88 × 37,676.34
  4. Step 4: Simplify right side
    142,849.44x = 8,072,415,058.22
  5. Step 5: Solve for x
    x = 8,072,415,058.22/142,849.44
  6. Step 6: Final answer
    x = 56,509.95

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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.