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Finding the Fourth Proportional to 101,817.19, 152,664.40 and 45,647.14

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Solution

The fourth proportional to 101,817.19, 152,664.40 and 45,647.14 is: 68,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,817.19 : 152,664.40 = 45,647.14 : x
  2. Step 2: Convert to fraction form
    101,817.19/152,664.40 = 45,647.14/x
  3. Step 3: Cross multiply
    101,817.19x = 152,664.40 × 45,647.14
  4. Step 4: Simplify right side
    101,817.19x = 6,968,693,239.82
  5. Step 5: Solve for x
    x = 6,968,693,239.82/101,817.19
  6. Step 6: Final answer
    x = 68,443.19

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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.