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Finding the Fourth Proportional to 255,208.68, 382,813.16 and 114,803.28

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Solution

The fourth proportional to 255,208.68, 382,813.16 and 114,803.28 is: 172,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,208.68 : 382,813.16 = 114,803.28 : x
  2. Step 2: Convert to fraction form
    255,208.68/382,813.16 = 114,803.28/x
  3. Step 3: Cross multiply
    255,208.68x = 382,813.16 × 114,803.28
  4. Step 4: Simplify right side
    255,208.68x = 43,948,206,395.16
  5. Step 5: Solve for x
    x = 43,948,206,395.16/255,208.68
  6. Step 6: Final answer
    x = 172,204.98

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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.