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Finding the Fourth Proportional to 281,350.74, 388,158.03 and 184,608

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Solution

The fourth proportional to 281,350.74, 388,158.03 and 184,608 is: 254,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,350.74 : 388,158.03 = 184,608 : x
  2. Step 2: Convert to fraction form
    281,350.74/388,158.03 = 184,608/x
  3. Step 3: Cross multiply
    281,350.74x = 388,158.03 × 184,608
  4. Step 4: Simplify right side
    281,350.74x = 71,657,077,602.24
  5. Step 5: Solve for x
    x = 71,657,077,602.24/281,350.74
  6. Step 6: Final answer
    x = 254,689.49

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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.