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Finding the Fourth Proportional to 317,460.51, 476,161.61 and 107,100.27

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Solution

The fourth proportional to 317,460.51, 476,161.61 and 107,100.27 is: 160,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,460.51 : 476,161.61 = 107,100.27 : x
  2. Step 2: Convert to fraction form
    317,460.51/476,161.61 = 107,100.27/x
  3. Step 3: Cross multiply
    317,460.51x = 476,161.61 × 107,100.27
  4. Step 4: Simplify right side
    317,460.51x = 50,997,036,459.13
  5. Step 5: Solve for x
    x = 50,997,036,459.13/317,460.51
  6. Step 6: Final answer
    x = 160,640.57

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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.