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Finding the Fourth Proportional to 182,304, 251,579.52 and 102,831.36

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Solution

The fourth proportional to 182,304, 251,579.52 and 102,831.36 is: 141,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,304 : 251,579.52 = 102,831.36 : x
  2. Step 2: Convert to fraction form
    182,304/251,579.52 = 102,831.36/x
  3. Step 3: Cross multiply
    182,304x = 251,579.52 × 102,831.36
  4. Step 4: Simplify right side
    182,304x = 25,870,264,189.75
  5. Step 5: Solve for x
    x = 25,870,264,189.75/182,304
  6. Step 6: Final answer
    x = 141,907.28

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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.