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Finding the Fourth Proportional to 180,398.41, 248,950.25 and 99,831.45

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Solution

The fourth proportional to 180,398.41, 248,950.25 and 99,831.45 is: 137,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,398.41 : 248,950.25 = 99,831.45 : x
  2. Step 2: Convert to fraction form
    180,398.41/248,950.25 = 99,831.45/x
  3. Step 3: Cross multiply
    180,398.41x = 248,950.25 × 99,831.45
  4. Step 4: Simplify right side
    180,398.41x = 24,853,064,435.36
  5. Step 5: Solve for x
    x = 24,853,064,435.36/180,398.41
  6. Step 6: Final answer
    x = 137,767.65

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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.