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Finding the Fourth Proportional to 178,097.83, 245,775 and 97,530.28

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Solution

The fourth proportional to 178,097.83, 245,775 and 97,530.28 is: 134,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,097.83 : 245,775 = 97,530.28 : x
  2. Step 2: Convert to fraction form
    178,097.83/245,775 = 97,530.28/x
  3. Step 3: Cross multiply
    178,097.83x = 245,775 × 97,530.28
  4. Step 4: Simplify right side
    178,097.83x = 23,970,504,567
  5. Step 5: Solve for x
    x = 23,970,504,567/178,097.83
  6. Step 6: Final answer
    x = 134,591.78

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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.