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Finding the Fourth Proportional to 205,227.60, 307,841.40 and 201,728.40

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Solution

The fourth proportional to 205,227.60, 307,841.40 and 201,728.40 is: 302,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,227.60 : 307,841.40 = 201,728.40 : x
  2. Step 2: Convert to fraction form
    205,227.60/307,841.40 = 201,728.40/x
  3. Step 3: Cross multiply
    205,227.60x = 307,841.40 × 201,728.40
  4. Step 4: Simplify right side
    205,227.60x = 62,100,353,075.76
  5. Step 5: Solve for x
    x = 62,100,353,075.76/205,227.60
  6. Step 6: Final answer
    x = 302,592.60

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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.