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Finding the Fourth Proportional to 127,116, 190,674 and 44,010

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Solution

The fourth proportional to 127,116, 190,674 and 44,010 is: 66,015

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,116 : 190,674 = 44,010 : x
  2. Step 2: Convert to fraction form
    127,116/190,674 = 44,010/x
  3. Step 3: Cross multiply
    127,116x = 190,674 × 44,010
  4. Step 4: Simplify right side
    127,116x = 8,391,562,740
  5. Step 5: Solve for x
    x = 8,391,562,740/127,116
  6. Step 6: Final answer
    x = 66,015

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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.