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Finding the Fourth Proportional to 233,164.90, 349,747.35 and 233,164.90

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Solution

The fourth proportional to 233,164.90, 349,747.35 and 233,164.90 is: 349,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,164.90 : 349,747.35 = 233,164.90 : x
  2. Step 2: Convert to fraction form
    233,164.90/349,747.35 = 233,164.90/x
  3. Step 3: Cross multiply
    233,164.90x = 349,747.35 × 233,164.90
  4. Step 4: Simplify right side
    233,164.90x = 81,548,805,888.02
  5. Step 5: Solve for x
    x = 81,548,805,888.02/233,164.90
  6. Step 6: Final answer
    x = 349,747.35

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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.