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Finding the Fourth Proportional to 164,779.73, 247,243.43 and 75,985.64

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Solution

The fourth proportional to 164,779.73, 247,243.43 and 75,985.64 is: 114,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,779.73 : 247,243.43 = 75,985.64 : x
  2. Step 2: Convert to fraction form
    164,779.73/247,243.43 = 75,985.64/x
  3. Step 3: Cross multiply
    164,779.73x = 247,243.43 × 75,985.64
  4. Step 4: Simplify right side
    164,779.73x = 18,786,949,028.13
  5. Step 5: Solve for x
    x = 18,786,949,028.13/164,779.73
  6. Step 6: Final answer
    x = 114,012.50

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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.