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Finding the Fourth Proportional to 195,008, 292,512 and 47,264

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Solution

The fourth proportional to 195,008, 292,512 and 47,264 is: 70,896

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,008 : 292,512 = 47,264 : x
  2. Step 2: Convert to fraction form
    195,008/292,512 = 47,264/x
  3. Step 3: Cross multiply
    195,008x = 292,512 × 47,264
  4. Step 4: Simplify right side
    195,008x = 13,825,287,168
  5. Step 5: Solve for x
    x = 13,825,287,168/195,008
  6. Step 6: Final answer
    x = 70,896

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.