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Finding the Fourth Proportional to 205,420.60, 308,447.70 and 112,108.60

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Solution

The fourth proportional to 205,420.60, 308,447.70 and 112,108.60 is: 168,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,420.60 : 308,447.70 = 112,108.60 : x
  2. Step 2: Convert to fraction form
    205,420.60/308,447.70 = 112,108.60/x
  3. Step 3: Cross multiply
    205,420.60x = 308,447.70 × 112,108.60
  4. Step 4: Simplify right side
    205,420.60x = 34,579,639,820.22
  5. Step 5: Solve for x
    x = 34,579,639,820.22/205,420.60
  6. Step 6: Final answer
    x = 168,335.79

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1.5x scale

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.