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Finding the Fourth Proportional to 133,141.51, 183,736.53 and 75,778.02

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Solution

The fourth proportional to 133,141.51, 183,736.53 and 75,778.02 is: 104,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,141.51 : 183,736.53 = 75,778.02 : x
  2. Step 2: Convert to fraction form
    133,141.51/183,736.53 = 75,778.02/x
  3. Step 3: Cross multiply
    133,141.51x = 183,736.53 × 75,778.02
  4. Step 4: Simplify right side
    133,141.51x = 13,923,190,445.07
  5. Step 5: Solve for x
    x = 13,923,190,445.07/133,141.51
  6. Step 6: Final answer
    x = 104,574.38

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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.