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Finding the Fourth Proportional to 255,004.86, 382,519.77 and 97,203.90

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Solution

The fourth proportional to 255,004.86, 382,519.77 and 97,203.90 is: 145,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,004.86 : 382,519.77 = 97,203.90 : x
  2. Step 2: Convert to fraction form
    255,004.86/382,519.77 = 97,203.90/x
  3. Step 3: Cross multiply
    255,004.86x = 382,519.77 × 97,203.90
  4. Step 4: Simplify right side
    255,004.86x = 37,182,413,471.10
  5. Step 5: Solve for x
    x = 37,182,413,471.10/255,004.86
  6. Step 6: Final answer
    x = 145,810.61

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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.