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Finding the Fourth Proportional to 256,537.24, 384,907.92 and 98,723.32

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Solution

The fourth proportional to 256,537.24, 384,907.92 and 98,723.32 is: 148,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,537.24 : 384,907.92 = 98,723.32 : x
  2. Step 2: Convert to fraction form
    256,537.24/384,907.92 = 98,723.32/x
  3. Step 3: Cross multiply
    256,537.24x = 384,907.92 × 98,723.32
  4. Step 4: Simplify right side
    256,537.24x = 37,999,387,756.69
  5. Step 5: Solve for x
    x = 37,999,387,756.69/256,537.24
  6. Step 6: Final answer
    x = 148,124.26

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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.