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Finding the Fourth Proportional to 102,247.25, 153,370.89 and 46,843.25

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Solution

The fourth proportional to 102,247.25, 153,370.89 and 46,843.25 is: 70,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,247.25 : 153,370.89 = 46,843.25 : x
  2. Step 2: Convert to fraction form
    102,247.25/153,370.89 = 46,843.25/x
  3. Step 3: Cross multiply
    102,247.25x = 153,370.89 × 46,843.25
  4. Step 4: Simplify right side
    102,247.25x = 7,184,390,942.99
  5. Step 5: Solve for x
    x = 7,184,390,942.99/102,247.25
  6. Step 6: Final answer
    x = 70,264.88

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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.