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Finding the Fourth Proportional to 178,097.34, 245,765.14 and 97,509.27

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Solution

The fourth proportional to 178,097.34, 245,765.14 and 97,509.27 is: 134,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,097.34 : 245,765.14 = 97,509.27 : x
  2. Step 2: Convert to fraction form
    178,097.34/245,765.14 = 97,509.27/x
  3. Step 3: Cross multiply
    178,097.34x = 245,765.14 × 97,509.27
  4. Step 4: Simplify right side
    178,097.34x = 23,964,379,392.85
  5. Step 5: Solve for x
    x = 23,964,379,392.85/178,097.34
  6. Step 6: Final answer
    x = 134,557.76

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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.