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Finding the Fourth Proportional to 208,666.17, 312,893.96 and 148,660.34

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Solution

The fourth proportional to 208,666.17, 312,893.96 and 148,660.34 is: 222,915.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,666.17 : 312,893.96 = 148,660.34 : x
  2. Step 2: Convert to fraction form
    208,666.17/312,893.96 = 148,660.34/x
  3. Step 3: Cross multiply
    208,666.17x = 312,893.96 × 148,660.34
  4. Step 4: Simplify right side
    208,666.17x = 46,514,920,169.77
  5. Step 5: Solve for x
    x = 46,514,920,169.77/208,666.17
  6. Step 6: Final answer
    x = 222,915.48

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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.