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Finding the Fourth Proportional to 184,422.40, 276,293.40 and 105,301.60

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Solution

The fourth proportional to 184,422.40, 276,293.40 and 105,301.60 is: 157,758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,422.40 : 276,293.40 = 105,301.60 : x
  2. Step 2: Convert to fraction form
    184,422.40/276,293.40 = 105,301.60/x
  3. Step 3: Cross multiply
    184,422.40x = 276,293.40 × 105,301.60
  4. Step 4: Simplify right side
    184,422.40x = 29,094,137,089.44
  5. Step 5: Solve for x
    x = 29,094,137,089.44/184,422.40
  6. Step 6: Final answer
    x = 157,758.15

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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.