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Finding the Fourth Proportional to 205,300.80, 307,951.20 and 135,259.20

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Solution

The fourth proportional to 205,300.80, 307,951.20 and 135,259.20 is: 202,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,300.80 : 307,951.20 = 135,259.20 : x
  2. Step 2: Convert to fraction form
    205,300.80/307,951.20 = 135,259.20/x
  3. Step 3: Cross multiply
    205,300.80x = 307,951.20 × 135,259.20
  4. Step 4: Simplify right side
    205,300.80x = 41,653,232,951.04
  5. Step 5: Solve for x
    x = 41,653,232,951.04/205,300.80
  6. Step 6: Final answer
    x = 202,888.80

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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.