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Finding the Fourth Proportional to 182,807.40, 274,211.10 and 159,479.40

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Solution

The fourth proportional to 182,807.40, 274,211.10 and 159,479.40 is: 239,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,807.40 : 274,211.10 = 159,479.40 : x
  2. Step 2: Convert to fraction form
    182,807.40/274,211.10 = 159,479.40/x
  3. Step 3: Cross multiply
    182,807.40x = 274,211.10 × 159,479.40
  4. Step 4: Simplify right side
    182,807.40x = 43,731,021,701.34
  5. Step 5: Solve for x
    x = 43,731,021,701.34/182,807.40
  6. Step 6: Final answer
    x = 239,219.10

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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.