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Finding the Fourth Proportional to 313,090.61, 469,343.74 and 123,552.54

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Solution

The fourth proportional to 313,090.61, 469,343.74 and 123,552.54 is: 185,213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,090.61 : 469,343.74 = 123,552.54 : x
  2. Step 2: Convert to fraction form
    313,090.61/469,343.74 = 123,552.54/x
  3. Step 3: Cross multiply
    313,090.61x = 469,343.74 × 123,552.54
  4. Step 4: Simplify right side
    313,090.61x = 57,988,612,661.26
  5. Step 5: Solve for x
    x = 57,988,612,661.26/313,090.61
  6. Step 6: Final answer
    x = 185,213.52

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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.