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Finding the Fourth Proportional to 280,938.24, 421,407.80 and 114,726.24

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Solution

The fourth proportional to 280,938.24, 421,407.80 and 114,726.24 is: 172,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,938.24 : 421,407.80 = 114,726.24 : x
  2. Step 2: Convert to fraction form
    280,938.24/421,407.80 = 114,726.24/x
  3. Step 3: Cross multiply
    280,938.24x = 421,407.80 × 114,726.24
  4. Step 4: Simplify right side
    280,938.24x = 48,346,532,400.67
  5. Step 5: Solve for x
    x = 48,346,532,400.67/280,938.24
  6. Step 6: Final answer
    x = 172,089.54

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