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Finding the Fourth Proportional to 178,039.68, 245,694.24 and 102,588

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Solution

The fourth proportional to 178,039.68, 245,694.24 and 102,588 is: 141,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,039.68 : 245,694.24 = 102,588 : x
  2. Step 2: Convert to fraction form
    178,039.68/245,694.24 = 102,588/x
  3. Step 3: Cross multiply
    178,039.68x = 245,694.24 × 102,588
  4. Step 4: Simplify right side
    178,039.68x = 25,205,280,693.12
  5. Step 5: Solve for x
    x = 25,205,280,693.12/178,039.68
  6. Step 6: Final answer
    x = 141,571.14

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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.