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Finding the Fourth Proportional to 178,969.66, 268,448.28 and 45,851.22

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Solution

The fourth proportional to 178,969.66, 268,448.28 and 45,851.22 is: 68,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,969.66 : 268,448.28 = 45,851.22 : x
  2. Step 2: Convert to fraction form
    178,969.66/268,448.28 = 45,851.22/x
  3. Step 3: Cross multiply
    178,969.66x = 268,448.28 × 45,851.22
  4. Step 4: Simplify right side
    178,969.66x = 12,308,681,144.90
  5. Step 5: Solve for x
    x = 12,308,681,144.90/178,969.66
  6. Step 6: Final answer
    x = 68,775.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.