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Finding the Fourth Proportional to 246,738.40, 370,280.40 and 106,597.60

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Solution

The fourth proportional to 246,738.40, 370,280.40 and 106,597.60 is: 159,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,738.40 : 370,280.40 = 106,597.60 : x
  2. Step 2: Convert to fraction form
    246,738.40/370,280.40 = 106,597.60/x
  3. Step 3: Cross multiply
    246,738.40x = 370,280.40 × 106,597.60
  4. Step 4: Simplify right side
    246,738.40x = 39,471,001,967.04
  5. Step 5: Solve for x
    x = 39,471,001,967.04/246,738.40
  6. Step 6: Final answer
    x = 159,971.05

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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.