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Finding the Fourth Proportional to 175,269.40, 262,904.10 and 133,797.40

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Solution

The fourth proportional to 175,269.40, 262,904.10 and 133,797.40 is: 200,696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,269.40 : 262,904.10 = 133,797.40 : x
  2. Step 2: Convert to fraction form
    175,269.40/262,904.10 = 133,797.40/x
  3. Step 3: Cross multiply
    175,269.40x = 262,904.10 × 133,797.40
  4. Step 4: Simplify right side
    175,269.40x = 35,175,885,029.34
  5. Step 5: Solve for x
    x = 35,175,885,029.34/175,269.40
  6. Step 6: Final answer
    x = 200,696.10

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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.