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Finding the Fourth Proportional to 142,581.86, 213,856.38 and 37,409.03

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Solution

The fourth proportional to 142,581.86, 213,856.38 and 37,409.03 is: 56,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,581.86 : 213,856.38 = 37,409.03 : x
  2. Step 2: Convert to fraction form
    142,581.86/213,856.38 = 37,409.03/x
  3. Step 3: Cross multiply
    142,581.86x = 213,856.38 × 37,409.03
  4. Step 4: Simplify right side
    142,581.86x = 8,000,159,735.11
  5. Step 5: Solve for x
    x = 8,000,159,735.11/142,581.86
  6. Step 6: Final answer
    x = 56,109.24

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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.