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Finding the Fourth Proportional to 278,495.31, 417,742.69 and 98,712.44

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Solution

The fourth proportional to 278,495.31, 417,742.69 and 98,712.44 is: 148,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,495.31 : 417,742.69 = 98,712.44 : x
  2. Step 2: Convert to fraction form
    278,495.31/417,742.69 = 98,712.44/x
  3. Step 3: Cross multiply
    278,495.31x = 417,742.69 × 98,712.44
  4. Step 4: Simplify right side
    278,495.31x = 41,236,400,222.06
  5. Step 5: Solve for x
    x = 41,236,400,222.06/278,495.31
  6. Step 6: Final answer
    x = 148,068.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.