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Finding the Fourth Proportional to 142,585.36, 213,861.62 and 37,412.53

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Solution

The fourth proportional to 142,585.36, 213,861.62 and 37,412.53 is: 56,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,585.36 : 213,861.62 = 37,412.53 : x
  2. Step 2: Convert to fraction form
    142,585.36/213,861.62 = 37,412.53/x
  3. Step 3: Cross multiply
    142,585.36x = 213,861.62 × 37,412.53
  4. Step 4: Simplify right side
    142,585.36x = 8,001,103,832.98
  5. Step 5: Solve for x
    x = 8,001,103,832.98/142,585.36
  6. Step 6: Final answer
    x = 56,114.48

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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.