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Finding the Fourth Proportional to 202,982.80, 304,474.20 and 97,812.40

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Solution

The fourth proportional to 202,982.80, 304,474.20 and 97,812.40 is: 146,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,982.80 : 304,474.20 = 97,812.40 : x
  2. Step 2: Convert to fraction form
    202,982.80/304,474.20 = 97,812.40/x
  3. Step 3: Cross multiply
    202,982.80x = 304,474.20 × 97,812.40
  4. Step 4: Simplify right side
    202,982.80x = 29,781,352,240.08
  5. Step 5: Solve for x
    x = 29,781,352,240.08/202,982.80
  6. Step 6: Final answer
    x = 146,718.60

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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.