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Finding the Fourth Proportional to 247,205.16, 370,918.30 and 114,014.20

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Solution

The fourth proportional to 247,205.16, 370,918.30 and 114,014.20 is: 171,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,205.16 : 370,918.30 = 114,014.20 : x
  2. Step 2: Convert to fraction form
    247,205.16/370,918.30 = 114,014.20/x
  3. Step 3: Cross multiply
    247,205.16x = 370,918.30 × 114,014.20
  4. Step 4: Simplify right side
    247,205.16x = 42,289,953,239.86
  5. Step 5: Solve for x
    x = 42,289,953,239.86/247,205.16
  6. Step 6: Final answer
    x = 171,072.29

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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.