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Finding the Fourth Proportional to 178,970.40, 268,449.41 and 45,851.96

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Solution

The fourth proportional to 178,970.40, 268,449.41 and 45,851.96 is: 68,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,970.40 : 268,449.41 = 45,851.96 : x
  2. Step 2: Convert to fraction form
    178,970.40/268,449.41 = 45,851.96/x
  3. Step 3: Cross multiply
    178,970.40x = 268,449.41 × 45,851.96
  4. Step 4: Simplify right side
    178,970.40x = 12,308,932,395.10
  5. Step 5: Solve for x
    x = 12,308,932,395.10/178,970.40
  6. Step 6: Final answer
    x = 68,776.36

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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.