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Finding the Fourth Proportional to 317,196.86, 475,893.93 and 103,966.64

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Solution

The fourth proportional to 317,196.86, 475,893.93 and 103,966.64 is: 155,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,196.86 : 475,893.93 = 103,966.64 : x
  2. Step 2: Convert to fraction form
    317,196.86/475,893.93 = 103,966.64/x
  3. Step 3: Cross multiply
    317,196.86x = 475,893.93 × 103,966.64
  4. Step 4: Simplify right side
    317,196.86x = 49,477,092,693.50
  5. Step 5: Solve for x
    x = 49,477,092,693.50/317,196.86
  6. Step 6: Final answer
    x = 155,982.29

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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.