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Finding the Fourth Proportional to 233,412.42, 350,118.63 and 186,445.38

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Solution

The fourth proportional to 233,412.42, 350,118.63 and 186,445.38 is: 279,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,412.42 : 350,118.63 = 186,445.38 : x
  2. Step 2: Convert to fraction form
    233,412.42/350,118.63 = 186,445.38/x
  3. Step 3: Cross multiply
    233,412.42x = 350,118.63 × 186,445.38
  4. Step 4: Simplify right side
    233,412.42x = 65,278,001,015.43
  5. Step 5: Solve for x
    x = 65,278,001,015.43/233,412.42
  6. Step 6: Final answer
    x = 279,668.07

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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.