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Finding the Fourth Proportional to 264,848.40, 397,126.80 and 106,898.40

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Solution

The fourth proportional to 264,848.40, 397,126.80 and 106,898.40 is: 160,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,848.40 : 397,126.80 = 106,898.40 : x
  2. Step 2: Convert to fraction form
    264,848.40/397,126.80 = 106,898.40/x
  3. Step 3: Cross multiply
    264,848.40x = 397,126.80 × 106,898.40
  4. Step 4: Simplify right side
    264,848.40x = 42,452,219,517.12
  5. Step 5: Solve for x
    x = 42,452,219,517.12/264,848.40
  6. Step 6: Final answer
    x = 160,288.75

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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.