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Finding the Fourth Proportional to 208,089, 312,185.34 and 60,345

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Solution

The fourth proportional to 208,089, 312,185.34 and 60,345 is: 90,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,089 : 312,185.34 = 60,345 : x
  2. Step 2: Convert to fraction form
    208,089/312,185.34 = 60,345/x
  3. Step 3: Cross multiply
    208,089x = 312,185.34 × 60,345
  4. Step 4: Simplify right side
    208,089x = 18,838,824,342.30
  5. Step 5: Solve for x
    x = 18,838,824,342.30/208,089
  6. Step 6: Final answer
    x = 90,532.53

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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.