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Finding the Fourth Proportional to 98,736.30, 148,201.65 and 48,872.70

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Solution

The fourth proportional to 98,736.30, 148,201.65 and 48,872.70 is: 73,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,736.30 : 148,201.65 = 48,872.70 : x
  2. Step 2: Convert to fraction form
    98,736.30/148,201.65 = 48,872.70/x
  3. Step 3: Cross multiply
    98,736.30x = 148,201.65 × 48,872.70
  4. Step 4: Simplify right side
    98,736.30x = 7,243,014,779.96
  5. Step 5: Solve for x
    x = 7,243,014,779.96/98,736.30
  6. Step 6: Final answer
    x = 73,357.16

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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.