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Finding the Fourth Proportional to 255,206.68, 382,810.16 and 114,801.28

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Solution

The fourth proportional to 255,206.68, 382,810.16 and 114,801.28 is: 172,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,206.68 : 382,810.16 = 114,801.28 : x
  2. Step 2: Convert to fraction form
    255,206.68/382,810.16 = 114,801.28/x
  3. Step 3: Cross multiply
    255,206.68x = 382,810.16 × 114,801.28
  4. Step 4: Simplify right side
    255,206.68x = 43,947,096,365.00
  5. Step 5: Solve for x
    x = 43,947,096,365.00/255,206.68
  6. Step 6: Final answer
    x = 172,201.98

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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.