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Finding the Fourth Proportional to 197,232, 295,848 and 65,904

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Solution

The fourth proportional to 197,232, 295,848 and 65,904 is: 98,856

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,232 : 295,848 = 65,904 : x
  2. Step 2: Convert to fraction form
    197,232/295,848 = 65,904/x
  3. Step 3: Cross multiply
    197,232x = 295,848 × 65,904
  4. Step 4: Simplify right side
    197,232x = 19,497,566,592
  5. Step 5: Solve for x
    x = 19,497,566,592/197,232
  6. Step 6: Final answer
    x = 98,856

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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.