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Finding the Fourth Proportional to 205,009.60, 307,514.40 and 149,022.40

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Solution

The fourth proportional to 205,009.60, 307,514.40 and 149,022.40 is: 223,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,009.60 : 307,514.40 = 149,022.40 : x
  2. Step 2: Convert to fraction form
    205,009.60/307,514.40 = 149,022.40/x
  3. Step 3: Cross multiply
    205,009.60x = 307,514.40 × 149,022.40
  4. Step 4: Simplify right side
    205,009.60x = 45,826,533,922.56
  5. Step 5: Solve for x
    x = 45,826,533,922.56/205,009.60
  6. Step 6: Final answer
    x = 223,533.60

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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.