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Finding the Fourth Proportional to 222,752, 307,272 and 132,018.84

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Solution

The fourth proportional to 222,752, 307,272 and 132,018.84 is: 182,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,752 : 307,272 = 132,018.84 : x
  2. Step 2: Convert to fraction form
    222,752/307,272 = 132,018.84/x
  3. Step 3: Cross multiply
    222,752x = 307,272 × 132,018.84
  4. Step 4: Simplify right side
    222,752x = 40,565,693,004.48
  5. Step 5: Solve for x
    x = 40,565,693,004.48/222,752
  6. Step 6: Final answer
    x = 182,111.46

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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.