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Finding the Fourth Proportional to 364,139.44, 546,209.16 and 114,821.44

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Solution

The fourth proportional to 364,139.44, 546,209.16 and 114,821.44 is: 172,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,139.44 : 546,209.16 = 114,821.44 : x
  2. Step 2: Convert to fraction form
    364,139.44/546,209.16 = 114,821.44/x
  3. Step 3: Cross multiply
    364,139.44x = 546,209.16 × 114,821.44
  4. Step 4: Simplify right side
    364,139.44x = 62,716,520,496.29
  5. Step 5: Solve for x
    x = 62,716,520,496.29/364,139.44
  6. Step 6: Final answer
    x = 172,232.16

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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.