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Finding the Fourth Proportional to 137,322.42, 205,817.29 and 58,270.57

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Solution

The fourth proportional to 137,322.42, 205,817.29 and 58,270.57 is: 87,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,322.42 : 205,817.29 = 58,270.57 : x
  2. Step 2: Convert to fraction form
    137,322.42/205,817.29 = 58,270.57/x
  3. Step 3: Cross multiply
    137,322.42x = 205,817.29 × 58,270.57
  4. Step 4: Simplify right side
    137,322.42x = 11,993,090,804.16
  5. Step 5: Solve for x
    x = 11,993,090,804.16/137,322.42
  6. Step 6: Final answer
    x = 87,335.27

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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.