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Finding the Fourth Proportional to 208,262.51, 312,405.87 and 58,514.47

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Solution

The fourth proportional to 208,262.51, 312,405.87 and 58,514.47 is: 87,775.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,262.51 : 312,405.87 = 58,514.47 : x
  2. Step 2: Convert to fraction form
    208,262.51/312,405.87 = 58,514.47/x
  3. Step 3: Cross multiply
    208,262.51x = 312,405.87 × 58,514.47
  4. Step 4: Simplify right side
    208,262.51x = 18,280,263,907.94
  5. Step 5: Solve for x
    x = 18,280,263,907.94/208,262.51
  6. Step 6: Final answer
    x = 87,775.11

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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.