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Finding the Fourth Proportional to 205,206.80, 307,810.20 and 184,470.80

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Solution

The fourth proportional to 205,206.80, 307,810.20 and 184,470.80 is: 276,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,206.80 : 307,810.20 = 184,470.80 : x
  2. Step 2: Convert to fraction form
    205,206.80/307,810.20 = 184,470.80/x
  3. Step 3: Cross multiply
    205,206.80x = 307,810.20 × 184,470.80
  4. Step 4: Simplify right side
    205,206.80x = 56,781,993,842.16
  5. Step 5: Solve for x
    x = 56,781,993,842.16/205,206.80
  6. Step 6: Final answer
    x = 276,706.20

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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.