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Finding the Fourth Proportional to 255,242.35, 382,774.22 and 75,280.02

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Solution

The fourth proportional to 255,242.35, 382,774.22 and 75,280.02 is: 112,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,242.35 : 382,774.22 = 75,280.02 : x
  2. Step 2: Convert to fraction form
    255,242.35/382,774.22 = 75,280.02/x
  3. Step 3: Cross multiply
    255,242.35x = 382,774.22 × 75,280.02
  4. Step 4: Simplify right side
    255,242.35x = 28,815,251,984.14
  5. Step 5: Solve for x
    x = 28,815,251,984.14/255,242.35
  6. Step 6: Final answer
    x = 112,893.70

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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.