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Finding the Fourth Proportional to 150,913.50, 208,267.11 and 83,845.50

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Solution

The fourth proportional to 150,913.50, 208,267.11 and 83,845.50 is: 115,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,913.50 : 208,267.11 = 83,845.50 : x
  2. Step 2: Convert to fraction form
    150,913.50/208,267.11 = 83,845.50/x
  3. Step 3: Cross multiply
    150,913.50x = 208,267.11 × 83,845.50
  4. Step 4: Simplify right side
    150,913.50x = 17,462,259,971.51
  5. Step 5: Solve for x
    x = 17,462,259,971.51/150,913.50
  6. Step 6: Final answer
    x = 115,710.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.