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Finding the Fourth Proportional to 183,009, 252,552.36 and 102,436.50

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Solution

The fourth proportional to 183,009, 252,552.36 and 102,436.50 is: 141,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,009 : 252,552.36 = 102,436.50 : x
  2. Step 2: Convert to fraction form
    183,009/252,552.36 = 102,436.50/x
  3. Step 3: Cross multiply
    183,009x = 252,552.36 × 102,436.50
  4. Step 4: Simplify right side
    183,009x = 25,870,579,825.14
  5. Step 5: Solve for x
    x = 25,870,579,825.14/183,009
  6. Step 6: Final answer
    x = 141,362.34

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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.