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Finding the Fourth Proportional to 255,008.44, 382,563.69 and 142,848.15

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Solution

The fourth proportional to 255,008.44, 382,563.69 and 142,848.15 is: 214,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,008.44 : 382,563.69 = 142,848.15 : x
  2. Step 2: Convert to fraction form
    255,008.44/382,563.69 = 142,848.15/x
  3. Step 3: Cross multiply
    255,008.44x = 382,563.69 × 142,848.15
  4. Step 4: Simplify right side
    255,008.44x = 54,648,515,373.67
  5. Step 5: Solve for x
    x = 54,648,515,373.67/255,008.44
  6. Step 6: Final answer
    x = 214,300.81

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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.