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Finding the Fourth Proportional to 364,250.48, 546,064.06 and 139,772

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Solution

The fourth proportional to 364,250.48, 546,064.06 and 139,772 is: 209,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,250.48 : 546,064.06 = 139,772 : x
  2. Step 2: Convert to fraction form
    364,250.48/546,064.06 = 139,772/x
  3. Step 3: Cross multiply
    364,250.48x = 546,064.06 × 139,772
  4. Step 4: Simplify right side
    364,250.48x = 76,324,465,794.32
  5. Step 5: Solve for x
    x = 76,324,465,794.32/364,250.48
  6. Step 6: Final answer
    x = 209,538.41

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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.