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Finding the Fourth Proportional to 152,307, 228,471.48 and 47,112.48

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Solution

The fourth proportional to 152,307, 228,471.48 and 47,112.48 is: 70,672.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,307 : 228,471.48 = 47,112.48 : x
  2. Step 2: Convert to fraction form
    152,307/228,471.48 = 47,112.48/x
  3. Step 3: Cross multiply
    152,307x = 228,471.48 × 47,112.48
  4. Step 4: Simplify right side
    152,307x = 10,763,858,032.07
  5. Step 5: Solve for x
    x = 10,763,858,032.07/152,307
  6. Step 6: Final answer
    x = 70,672.12

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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.