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Finding the Fourth Proportional to 137,076.36, 205,562.70 and 53,925

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Solution

The fourth proportional to 137,076.36, 205,562.70 and 53,925 is: 80,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,076.36 : 205,562.70 = 53,925 : x
  2. Step 2: Convert to fraction form
    137,076.36/205,562.70 = 53,925/x
  3. Step 3: Cross multiply
    137,076.36x = 205,562.70 × 53,925
  4. Step 4: Simplify right side
    137,076.36x = 11,084,968,597.50
  5. Step 5: Solve for x
    x = 11,084,968,597.50/137,076.36
  6. Step 6: Final answer
    x = 80,867.11

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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.