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Finding the Fourth Proportional to 186,643.33, 280,014.35 and 97,873

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Solution

The fourth proportional to 186,643.33, 280,014.35 and 97,873 is: 146,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,643.33 : 280,014.35 = 97,873 : x
  2. Step 2: Convert to fraction form
    186,643.33/280,014.35 = 97,873/x
  3. Step 3: Cross multiply
    186,643.33x = 280,014.35 × 97,873
  4. Step 4: Simplify right side
    186,643.33x = 27,405,844,477.55
  5. Step 5: Solve for x
    x = 27,405,844,477.55/186,643.33
  6. Step 6: Final answer
    x = 146,835.38

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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.