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Finding the Fourth Proportional to 178,099.73, 245,892.35 and 158,946.47

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Solution

The fourth proportional to 178,099.73, 245,892.35 and 158,946.47 is: 219,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,099.73 : 245,892.35 = 158,946.47 : x
  2. Step 2: Convert to fraction form
    178,099.73/245,892.35 = 158,946.47/x
  3. Step 3: Cross multiply
    178,099.73x = 245,892.35 × 158,946.47
  4. Step 4: Simplify right side
    178,099.73x = 39,083,720,237.77
  5. Step 5: Solve for x
    x = 39,083,720,237.77/178,099.73
  6. Step 6: Final answer
    x = 219,448.51

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Why These Related Problems?

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