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Finding the Fourth Proportional to 230,448.08, 317,838.07 and 149,901.34

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Solution

The fourth proportional to 230,448.08, 317,838.07 and 149,901.34 is: 206,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,448.08 : 317,838.07 = 149,901.34 : x
  2. Step 2: Convert to fraction form
    230,448.08/317,838.07 = 149,901.34/x
  3. Step 3: Cross multiply
    230,448.08x = 317,838.07 × 149,901.34
  4. Step 4: Simplify right side
    230,448.08x = 47,644,352,596.01
  5. Step 5: Solve for x
    x = 47,644,352,596.01/230,448.08
  6. Step 6: Final answer
    x = 206,746.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.