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Finding the Fourth Proportional to 142,762.50, 214,155.90 and 37,581.77

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Solution

The fourth proportional to 142,762.50, 214,155.90 and 37,581.77 is: 56,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,762.50 : 214,155.90 = 37,581.77 : x
  2. Step 2: Convert to fraction form
    142,762.50/214,155.90 = 37,581.77/x
  3. Step 3: Cross multiply
    142,762.50x = 214,155.90 × 37,581.77
  4. Step 4: Simplify right side
    142,762.50x = 8,048,358,313.33
  5. Step 5: Solve for x
    x = 8,048,358,313.33/142,762.50
  6. Step 6: Final answer
    x = 56,375.86

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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.