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Finding the Fourth Proportional to 185,449.45, 277,741.55 and 135,405.42

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Solution

The fourth proportional to 185,449.45, 277,741.55 and 135,405.42 is: 202,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,449.45 : 277,741.55 = 135,405.42 : x
  2. Step 2: Convert to fraction form
    185,449.45/277,741.55 = 135,405.42/x
  3. Step 3: Cross multiply
    185,449.45x = 277,741.55 × 135,405.42
  4. Step 4: Simplify right side
    185,449.45x = 37,607,709,840.49
  5. Step 5: Solve for x
    x = 37,607,709,840.49/185,449.45
  6. Step 6: Final answer
    x = 202,792.25

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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.