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Finding the Fourth Proportional to 183,330, 253,005.36 and 102,783.36

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Solution

The fourth proportional to 183,330, 253,005.36 and 102,783.36 is: 141,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,330 : 253,005.36 = 102,783.36 : x
  2. Step 2: Convert to fraction form
    183,330/253,005.36 = 102,783.36/x
  3. Step 3: Cross multiply
    183,330x = 253,005.36 × 102,783.36
  4. Step 4: Simplify right side
    183,330x = 26,004,740,998.81
  5. Step 5: Solve for x
    x = 26,004,740,998.81/183,330
  6. Step 6: Final answer
    x = 141,846.62

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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.