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Finding the Fourth Proportional to 137,095, 205,672.74 and 58,276.60

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Solution

The fourth proportional to 137,095, 205,672.74 and 58,276.60 is: 87,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,095 : 205,672.74 = 58,276.60 : x
  2. Step 2: Convert to fraction form
    137,095/205,672.74 = 58,276.60/x
  3. Step 3: Cross multiply
    137,095x = 205,672.74 × 58,276.60
  4. Step 4: Simplify right side
    137,095x = 11,985,907,999.88
  5. Step 5: Solve for x
    x = 11,985,907,999.88/137,095
  6. Step 6: Final answer
    x = 87,427.75

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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.