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Finding the Fourth Proportional to 200,802.24, 300,611.56 and 175,890.96

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Solution

The fourth proportional to 200,802.24, 300,611.56 and 175,890.96 is: 263,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,802.24 : 300,611.56 = 175,890.96 : x
  2. Step 2: Convert to fraction form
    200,802.24/300,611.56 = 175,890.96/x
  3. Step 3: Cross multiply
    200,802.24x = 300,611.56 × 175,890.96
  4. Step 4: Simplify right side
    200,802.24x = 52,874,855,875.50
  5. Step 5: Solve for x
    x = 52,874,855,875.50/200,802.24
  6. Step 6: Final answer
    x = 263,318.06

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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.