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Finding the Fourth Proportional to 538,557.40, 807,833.64 and 139,164.22

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Solution

The fourth proportional to 538,557.40, 807,833.64 and 139,164.22 is: 208,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,557.40 : 807,833.64 = 139,164.22 : x
  2. Step 2: Convert to fraction form
    538,557.40/807,833.64 = 139,164.22/x
  3. Step 3: Cross multiply
    538,557.40x = 807,833.64 × 139,164.22
  4. Step 4: Simplify right side
    538,557.40x = 112,421,538,400.36
  5. Step 5: Solve for x
    x = 112,421,538,400.36/538,557.40
  6. Step 6: Final answer
    x = 208,745.69

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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.