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Finding the Fourth Proportional to 164,071.52, 246,030.24 and 97,520.48

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Solution

The fourth proportional to 164,071.52, 246,030.24 and 97,520.48 is: 146,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,071.52 : 246,030.24 = 97,520.48 : x
  2. Step 2: Convert to fraction form
    164,071.52/246,030.24 = 97,520.48/x
  3. Step 3: Cross multiply
    164,071.52x = 246,030.24 × 97,520.48
  4. Step 4: Simplify right side
    164,071.52x = 23,992,987,099.32
  5. Step 5: Solve for x
    x = 23,992,987,099.32/164,071.52
  6. Step 6: Final answer
    x = 146,234.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.