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Finding the Fourth Proportional to 157,932, 236,939.04 and 47,124

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Solution

The fourth proportional to 157,932, 236,939.04 and 47,124 is: 70,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,932 : 236,939.04 = 47,124 : x
  2. Step 2: Convert to fraction form
    157,932/236,939.04 = 47,124/x
  3. Step 3: Cross multiply
    157,932x = 236,939.04 × 47,124
  4. Step 4: Simplify right side
    157,932x = 11,165,515,320.96
  5. Step 5: Solve for x
    x = 11,165,515,320.96/157,932
  6. Step 6: Final answer
    x = 70,698.25

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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.