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Finding the Fourth Proportional to 313,137.30, 469,674.80 and 144,655.22

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Solution

The fourth proportional to 313,137.30, 469,674.80 and 144,655.22 is: 216,968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,137.30 : 469,674.80 = 144,655.22 : x
  2. Step 2: Convert to fraction form
    313,137.30/469,674.80 = 144,655.22/x
  3. Step 3: Cross multiply
    313,137.30x = 469,674.80 × 144,655.22
  4. Step 4: Simplify right side
    313,137.30x = 67,940,909,467.06
  5. Step 5: Solve for x
    x = 67,940,909,467.06/313,137.30
  6. Step 6: Final answer
    x = 216,968.43

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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.