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Finding the Fourth Proportional to 341,257.91, 511,668.14 and 141,716.03

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Solution

The fourth proportional to 341,257.91, 511,668.14 and 141,716.03 is: 212,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,257.91 : 511,668.14 = 141,716.03 : x
  2. Step 2: Convert to fraction form
    341,257.91/511,668.14 = 141,716.03/x
  3. Step 3: Cross multiply
    341,257.91x = 511,668.14 × 141,716.03
  4. Step 4: Simplify right side
    341,257.91x = 72,511,574,211.36
  5. Step 5: Solve for x
    x = 72,511,574,211.36/341,257.91
  6. Step 6: Final answer
    x = 212,483.21

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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.