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Finding the Fourth Proportional to 207,272, 286,035.36 and 117,848

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Solution

The fourth proportional to 207,272, 286,035.36 and 117,848 is: 162,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,272 : 286,035.36 = 117,848 : x
  2. Step 2: Convert to fraction form
    207,272/286,035.36 = 117,848/x
  3. Step 3: Cross multiply
    207,272x = 286,035.36 × 117,848
  4. Step 4: Simplify right side
    207,272x = 33,708,695,105.28
  5. Step 5: Solve for x
    x = 33,708,695,105.28/207,272
  6. Step 6: Final answer
    x = 162,630.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.