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Finding the Fourth Proportional to 257,693.44, 355,661.40 and 150,326.32

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Solution

The fourth proportional to 257,693.44, 355,661.40 and 150,326.32 is: 207,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,693.44 : 355,661.40 = 150,326.32 : x
  2. Step 2: Convert to fraction form
    257,693.44/355,661.40 = 150,326.32/x
  3. Step 3: Cross multiply
    257,693.44x = 355,661.40 × 150,326.32
  4. Step 4: Simplify right side
    257,693.44x = 53,465,269,428.05
  5. Step 5: Solve for x
    x = 53,465,269,428.05/257,693.44
  6. Step 6: Final answer
    x = 207,476.25

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Why These Related Problems?

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