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Finding the Fourth Proportional to 317,187.49, 475,834.56 and 157,271.32

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Solution

The fourth proportional to 317,187.49, 475,834.56 and 157,271.32 is: 235,933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,187.49 : 475,834.56 = 157,271.32 : x
  2. Step 2: Convert to fraction form
    317,187.49/475,834.56 = 157,271.32/x
  3. Step 3: Cross multiply
    317,187.49x = 475,834.56 × 157,271.32
  4. Step 4: Simplify right side
    317,187.49x = 74,835,128,163.23
  5. Step 5: Solve for x
    x = 74,835,128,163.23/317,187.49
  6. Step 6: Final answer
    x = 235,933.42

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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.