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Finding the Fourth Proportional to 280,838.80, 421,258.20 and 202,106.80

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Solution

The fourth proportional to 280,838.80, 421,258.20 and 202,106.80 is: 303,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,838.80 : 421,258.20 = 202,106.80 : x
  2. Step 2: Convert to fraction form
    280,838.80/421,258.20 = 202,106.80/x
  3. Step 3: Cross multiply
    280,838.80x = 421,258.20 × 202,106.80
  4. Step 4: Simplify right side
    280,838.80x = 85,139,146,775.76
  5. Step 5: Solve for x
    x = 85,139,146,775.76/280,838.80
  6. Step 6: Final answer
    x = 303,160.20

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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.