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Finding the Fourth Proportional to 120,883.84, 181,214.56 and 64,762.56

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Solution

The fourth proportional to 120,883.84, 181,214.56 and 64,762.56 is: 97,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,883.84 : 181,214.56 = 64,762.56 : x
  2. Step 2: Convert to fraction form
    120,883.84/181,214.56 = 64,762.56/x
  3. Step 3: Cross multiply
    120,883.84x = 181,214.56 × 64,762.56
  4. Step 4: Simplify right side
    120,883.84x = 11,735,918,814.87
  5. Step 5: Solve for x
    x = 11,735,918,814.87/120,883.84
  6. Step 6: Final answer
    x = 97,084.27

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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.