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Finding the Fourth Proportional to 142,528.92, 213,777 and 37,356.18

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Solution

The fourth proportional to 142,528.92, 213,777 and 37,356.18 is: 56,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,528.92 : 213,777 = 37,356.18 : x
  2. Step 2: Convert to fraction form
    142,528.92/213,777 = 37,356.18/x
  3. Step 3: Cross multiply
    142,528.92x = 213,777 × 37,356.18
  4. Step 4: Simplify right side
    142,528.92x = 7,985,892,091.86
  5. Step 5: Solve for x
    x = 7,985,892,091.86/142,528.92
  6. Step 6: Final answer
    x = 56,029.98

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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.