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Finding the Fourth Proportional to 158,564, 237,846 and 40,235.96

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Solution

The fourth proportional to 158,564, 237,846 and 40,235.96 is: 60,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,564 : 237,846 = 40,235.96 : x
  2. Step 2: Convert to fraction form
    158,564/237,846 = 40,235.96/x
  3. Step 3: Cross multiply
    158,564x = 237,846 × 40,235.96
  4. Step 4: Simplify right side
    158,564x = 9,569,962,142.16
  5. Step 5: Solve for x
    x = 9,569,962,142.16/158,564
  6. Step 6: Final answer
    x = 60,353.94

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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.