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Finding the Fourth Proportional to 205,820.40, 308,730.60 and 58,076.40

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Solution

The fourth proportional to 205,820.40, 308,730.60 and 58,076.40 is: 87,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,820.40 : 308,730.60 = 58,076.40 : x
  2. Step 2: Convert to fraction form
    205,820.40/308,730.60 = 58,076.40/x
  3. Step 3: Cross multiply
    205,820.40x = 308,730.60 × 58,076.40
  4. Step 4: Simplify right side
    205,820.40x = 17,929,961,817.84
  5. Step 5: Solve for x
    x = 17,929,961,817.84/205,820.40
  6. Step 6: Final answer
    x = 87,114.60

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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.