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Finding the Fourth Proportional to 178,166.52, 245,859.30 and 97,578

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Solution

The fourth proportional to 178,166.52, 245,859.30 and 97,578 is: 134,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,166.52 : 245,859.30 = 97,578 : x
  2. Step 2: Convert to fraction form
    178,166.52/245,859.30 = 97,578/x
  3. Step 3: Cross multiply
    178,166.52x = 245,859.30 × 97,578
  4. Step 4: Simplify right side
    178,166.52x = 23,990,458,775.40
  5. Step 5: Solve for x
    x = 23,990,458,775.40/178,166.52
  6. Step 6: Final answer
    x = 134,651.89

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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.