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Finding the Fourth Proportional to 183,388.38, 253,088.13 and 102,821.10

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Solution

The fourth proportional to 183,388.38, 253,088.13 and 102,821.10 is: 141,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,388.38 : 253,088.13 = 102,821.10 : x
  2. Step 2: Convert to fraction form
    183,388.38/253,088.13 = 102,821.10/x
  3. Step 3: Cross multiply
    183,388.38x = 253,088.13 × 102,821.10
  4. Step 4: Simplify right side
    183,388.38x = 26,022,799,923.54
  5. Step 5: Solve for x
    x = 26,022,799,923.54/183,388.38
  6. Step 6: Final answer
    x = 141,899.94

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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.