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Finding the Fourth Proportional to 233,041.42, 349,488 and 75,233.16

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Solution

The fourth proportional to 233,041.42, 349,488 and 75,233.16 is: 112,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,041.42 : 349,488 = 75,233.16 : x
  2. Step 2: Convert to fraction form
    233,041.42/349,488 = 75,233.16/x
  3. Step 3: Cross multiply
    233,041.42x = 349,488 × 75,233.16
  4. Step 4: Simplify right side
    233,041.42x = 26,293,086,622.08
  5. Step 5: Solve for x
    x = 26,293,086,622.08/233,041.42
  6. Step 6: Final answer
    x = 112,825.81

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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.