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Finding the Fourth Proportional to 233,265.88, 349,886.51 and 114,897.23

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Solution

The fourth proportional to 233,265.88, 349,886.51 and 114,897.23 is: 172,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265.88 : 349,886.51 = 114,897.23 : x
  2. Step 2: Convert to fraction form
    233,265.88/349,886.51 = 114,897.23/x
  3. Step 3: Cross multiply
    233,265.88x = 349,886.51 × 114,897.23
  4. Step 4: Simplify right side
    233,265.88x = 40,200,992,523.65
  5. Step 5: Solve for x
    x = 40,200,992,523.65/233,265.88
  6. Step 6: Final answer
    x = 172,339.79

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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.