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Finding the Fourth Proportional to 142,674.96, 214,013.52 and 37,493.76

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Solution

The fourth proportional to 142,674.96, 214,013.52 and 37,493.76 is: 56,240.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,674.96 : 214,013.52 = 37,493.76 : x
  2. Step 2: Convert to fraction form
    142,674.96/214,013.52 = 37,493.76/x
  3. Step 3: Cross multiply
    142,674.96x = 214,013.52 × 37,493.76
  4. Step 4: Simplify right side
    142,674.96x = 8,024,171,555.64
  5. Step 5: Solve for x
    x = 8,024,171,555.64/142,674.96
  6. Step 6: Final answer
    x = 56,240.92

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1.5x scale

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.