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Finding the Fourth Proportional to 200,649.40, 301,026.30 and 58,491.46

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Solution

The fourth proportional to 200,649.40, 301,026.30 and 58,491.46 is: 87,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,649.40 : 301,026.30 = 58,491.46 : x
  2. Step 2: Convert to fraction form
    200,649.40/301,026.30 = 58,491.46/x
  3. Step 3: Cross multiply
    200,649.40x = 301,026.30 × 58,491.46
  4. Step 4: Simplify right side
    200,649.40x = 17,607,467,785.40
  5. Step 5: Solve for x
    x = 17,607,467,785.40/200,649.40
  6. Step 6: Final answer
    x = 87,752.41

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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.