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Finding the Fourth Proportional to 142,758.55, 214,148.76 and 37,576

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Solution

The fourth proportional to 142,758.55, 214,148.76 and 37,576 is: 56,366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,758.55 : 214,148.76 = 37,576 : x
  2. Step 2: Convert to fraction form
    142,758.55/214,148.76 = 37,576/x
  3. Step 3: Cross multiply
    142,758.55x = 214,148.76 × 37,576
  4. Step 4: Simplify right side
    142,758.55x = 8,046,853,805.76
  5. Step 5: Solve for x
    x = 8,046,853,805.76/142,758.55
  6. Step 6: Final answer
    x = 56,366.88

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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.