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Finding the Fourth Proportional to 164,609.72, 246,929.15 and 46,282.08

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Solution

The fourth proportional to 164,609.72, 246,929.15 and 46,282.08 is: 69,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,609.72 : 246,929.15 = 46,282.08 : x
  2. Step 2: Convert to fraction form
    164,609.72/246,929.15 = 46,282.08/x
  3. Step 3: Cross multiply
    164,609.72x = 246,929.15 × 46,282.08
  4. Step 4: Simplify right side
    164,609.72x = 11,428,394,790.34
  5. Step 5: Solve for x
    x = 11,428,394,790.34/164,609.72
  6. Step 6: Final answer
    x = 69,427.22

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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.