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Finding the Fourth Proportional to 178,796.10, 246,788.28 and 102,358.02

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Solution

The fourth proportional to 178,796.10, 246,788.28 and 102,358.02 is: 141,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,796.10 : 246,788.28 = 102,358.02 : x
  2. Step 2: Convert to fraction form
    178,796.10/246,788.28 = 102,358.02/x
  3. Step 3: Cross multiply
    178,796.10x = 246,788.28 × 102,358.02
  4. Step 4: Simplify right side
    178,796.10x = 25,260,759,700.01
  5. Step 5: Solve for x
    x = 25,260,759,700.01/178,796.10
  6. Step 6: Final answer
    x = 141,282.50

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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.