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Finding the Fourth Proportional to 142,580.86, 213,854.88 and 37,408.03

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Solution

The fourth proportional to 142,580.86, 213,854.88 and 37,408.03 is: 56,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,580.86 : 213,854.88 = 37,408.03 : x
  2. Step 2: Convert to fraction form
    142,580.86/213,854.88 = 37,408.03/x
  3. Step 3: Cross multiply
    142,580.86x = 213,854.88 × 37,408.03
  4. Step 4: Simplify right side
    142,580.86x = 7,999,889,372.33
  5. Step 5: Solve for x
    x = 7,999,889,372.33/142,580.86
  6. Step 6: Final answer
    x = 56,107.74

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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.