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Finding the Fourth Proportional to 301,349, 452,008.80 and 111,846.24

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Solution

The fourth proportional to 301,349, 452,008.80 and 111,846.24 is: 167,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,349 : 452,008.80 = 111,846.24 : x
  2. Step 2: Convert to fraction form
    301,349/452,008.80 = 111,846.24/x
  3. Step 3: Cross multiply
    301,349x = 452,008.80 × 111,846.24
  4. Step 4: Simplify right side
    301,349x = 50,555,484,726.91
  5. Step 5: Solve for x
    x = 50,555,484,726.91/301,349
  6. Step 6: Final answer
    x = 167,763.90

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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.