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Finding the Fourth Proportional to 133,241.94, 183,953.97 and 83,008.98

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Solution

The fourth proportional to 133,241.94, 183,953.97 and 83,008.98 is: 114,602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,241.94 : 183,953.97 = 83,008.98 : x
  2. Step 2: Convert to fraction form
    133,241.94/183,953.97 = 83,008.98/x
  3. Step 3: Cross multiply
    133,241.94x = 183,953.97 × 83,008.98
  4. Step 4: Simplify right side
    133,241.94x = 15,269,831,416.65
  5. Step 5: Solve for x
    x = 15,269,831,416.65/133,241.94
  6. Step 6: Final answer
    x = 114,602.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.