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Finding the Fourth Proportional to 158,576.40, 237,875.40 and 50,497.20

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Solution

The fourth proportional to 158,576.40, 237,875.40 and 50,497.20 is: 75,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,576.40 : 237,875.40 = 50,497.20 : x
  2. Step 2: Convert to fraction form
    158,576.40/237,875.40 = 50,497.20/x
  3. Step 3: Cross multiply
    158,576.40x = 237,875.40 × 50,497.20
  4. Step 4: Simplify right side
    158,576.40x = 12,012,041,648.88
  5. Step 5: Solve for x
    x = 12,012,041,648.88/158,576.40
  6. Step 6: Final answer
    x = 75,749.24

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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.