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Finding the Fourth Proportional to 137,262.96, 205,741.44 and 62,270.64

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Solution

The fourth proportional to 137,262.96, 205,741.44 and 62,270.64 is: 93,336.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,262.96 : 205,741.44 = 62,270.64 : x
  2. Step 2: Convert to fraction form
    137,262.96/205,741.44 = 62,270.64/x
  3. Step 3: Cross multiply
    137,262.96x = 205,741.44 × 62,270.64
  4. Step 4: Simplify right side
    137,262.96x = 12,811,651,143.32
  5. Step 5: Solve for x
    x = 12,811,651,143.32/137,262.96
  6. Step 6: Final answer
    x = 93,336.55

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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.