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Finding the Fourth Proportional to 205,809.30, 308,908.35 and 127,077.30

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Solution

The fourth proportional to 205,809.30, 308,908.35 and 127,077.30 is: 190,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,809.30 : 308,908.35 = 127,077.30 : x
  2. Step 2: Convert to fraction form
    205,809.30/308,908.35 = 127,077.30/x
  3. Step 3: Cross multiply
    205,809.30x = 308,908.35 × 127,077.30
  4. Step 4: Simplify right side
    205,809.30x = 39,255,239,065.46
  5. Step 5: Solve for x
    x = 39,255,239,065.46/205,809.30
  6. Step 6: Final answer
    x = 190,735.98

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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.