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Finding the Fourth Proportional to 230,467.40, 345,701.10 and 183,811.40

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Solution

The fourth proportional to 230,467.40, 345,701.10 and 183,811.40 is: 275,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,467.40 : 345,701.10 = 183,811.40 : x
  2. Step 2: Convert to fraction form
    230,467.40/345,701.10 = 183,811.40/x
  3. Step 3: Cross multiply
    230,467.40x = 345,701.10 × 183,811.40
  4. Step 4: Simplify right side
    230,467.40x = 63,543,803,172.54
  5. Step 5: Solve for x
    x = 63,543,803,172.54/230,467.40
  6. Step 6: Final answer
    x = 275,717.10

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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.