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Finding the Fourth Proportional to 164,084.45, 245,634.60 and 97,490.30

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Solution

The fourth proportional to 164,084.45, 245,634.60 and 97,490.30 is: 145,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,084.45 : 245,634.60 = 97,490.30 : x
  2. Step 2: Convert to fraction form
    164,084.45/245,634.60 = 97,490.30/x
  3. Step 3: Cross multiply
    164,084.45x = 245,634.60 × 97,490.30
  4. Step 4: Simplify right side
    164,084.45x = 23,946,990,844.38
  5. Step 5: Solve for x
    x = 23,946,990,844.38/164,084.45
  6. Step 6: Final answer
    x = 145,943.09

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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.