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Finding the Fourth Proportional to 233,036.52, 349,670.88 and 106,676.52

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Solution

The fourth proportional to 233,036.52, 349,670.88 and 106,676.52 is: 160,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,036.52 : 349,670.88 = 106,676.52 : x
  2. Step 2: Convert to fraction form
    233,036.52/349,670.88 = 106,676.52/x
  3. Step 3: Cross multiply
    233,036.52x = 349,670.88 × 106,676.52
  4. Step 4: Simplify right side
    233,036.52x = 37,301,672,623.74
  5. Step 5: Solve for x
    x = 37,301,672,623.74/233,036.52
  6. Step 6: Final answer
    x = 160,067.93

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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.