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Finding the Fourth Proportional to 178,098, 245,775.62 and 96,427.12

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Solution

The fourth proportional to 178,098, 245,775.62 and 96,427.12 is: 133,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,098 : 245,775.62 = 96,427.12 : x
  2. Step 2: Convert to fraction form
    178,098/245,775.62 = 96,427.12/x
  3. Step 3: Cross multiply
    178,098x = 245,775.62 × 96,427.12
  4. Step 4: Simplify right side
    178,098x = 23,699,435,202.81
  5. Step 5: Solve for x
    x = 23,699,435,202.81/178,098
  6. Step 6: Final answer
    x = 133,069.63

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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.