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Finding the Fourth Proportional to 342,140.20, 513,210.30 and 202,172.20

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Solution

The fourth proportional to 342,140.20, 513,210.30 and 202,172.20 is: 303,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,140.20 : 513,210.30 = 202,172.20 : x
  2. Step 2: Convert to fraction form
    342,140.20/513,210.30 = 202,172.20/x
  3. Step 3: Cross multiply
    342,140.20x = 513,210.30 × 202,172.20
  4. Step 4: Simplify right side
    342,140.20x = 103,756,855,413.66
  5. Step 5: Solve for x
    x = 103,756,855,413.66/342,140.20
  6. Step 6: Final answer
    x = 303,258.30

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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.