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Finding the Fourth Proportional to 180,403.83, 248,953.56 and 99,831.30

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Solution

The fourth proportional to 180,403.83, 248,953.56 and 99,831.30 is: 137,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,403.83 : 248,953.56 = 99,831.30 : x
  2. Step 2: Convert to fraction form
    180,403.83/248,953.56 = 99,831.30/x
  3. Step 3: Cross multiply
    180,403.83x = 248,953.56 × 99,831.30
  4. Step 4: Simplify right side
    180,403.83x = 24,853,357,534.43
  5. Step 5: Solve for x
    x = 24,853,357,534.43/180,403.83
  6. Step 6: Final answer
    x = 137,765.13

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