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Finding the Fourth Proportional to 233,357.74, 349,949.04 and 184,019.02

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Solution

The fourth proportional to 233,357.74, 349,949.04 and 184,019.02 is: 275,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,357.74 : 349,949.04 = 184,019.02 : x
  2. Step 2: Convert to fraction form
    233,357.74/349,949.04 = 184,019.02/x
  3. Step 3: Cross multiply
    233,357.74x = 349,949.04 × 184,019.02
  4. Step 4: Simplify right side
    233,357.74x = 64,397,279,390.74
  5. Step 5: Solve for x
    x = 64,397,279,390.74/233,357.74
  6. Step 6: Final answer
    x = 275,959.47

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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.