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Finding the Fourth Proportional to 180,403.71, 248,953.38 and 99,831.18

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Solution

The fourth proportional to 180,403.71, 248,953.38 and 99,831.18 is: 137,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,403.71 : 248,953.38 = 99,831.18 : x
  2. Step 2: Convert to fraction form
    180,403.71/248,953.38 = 99,831.18/x
  3. Step 3: Cross multiply
    180,403.71x = 248,953.38 × 99,831.18
  4. Step 4: Simplify right side
    180,403.71x = 24,853,309,690.39
  5. Step 5: Solve for x
    x = 24,853,309,690.39/180,403.71
  6. Step 6: Final answer
    x = 137,764.96

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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.