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Finding the Fourth Proportional to 165,992.96, 249,040.46 and 148,351.16

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Solution

The fourth proportional to 165,992.96, 249,040.46 and 148,351.16 is: 222,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,992.96 : 249,040.46 = 148,351.16 : x
  2. Step 2: Convert to fraction form
    165,992.96/249,040.46 = 148,351.16/x
  3. Step 3: Cross multiply
    165,992.96x = 249,040.46 × 148,351.16
  4. Step 4: Simplify right side
    165,992.96x = 36,945,440,253.61
  5. Step 5: Solve for x
    x = 36,945,440,253.61/165,992.96
  6. Step 6: Final answer
    x = 222,572.34

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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.