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Finding the Fourth Proportional to 157,982, 237,011.88 and 47,174

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Solution

The fourth proportional to 157,982, 237,011.88 and 47,174 is: 70,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,982 : 237,011.88 = 47,174 : x
  2. Step 2: Convert to fraction form
    157,982/237,011.88 = 47,174/x
  3. Step 3: Cross multiply
    157,982x = 237,011.88 × 47,174
  4. Step 4: Simplify right side
    157,982x = 11,180,798,427.12
  5. Step 5: Solve for x
    x = 11,180,798,427.12/157,982
  6. Step 6: Final answer
    x = 70,772.61

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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.