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Finding the Fourth Proportional to 165,780.76, 248,710.03 and 65,946.64

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Solution

The fourth proportional to 165,780.76, 248,710.03 and 65,946.64 is: 98,935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,780.76 : 248,710.03 = 65,946.64 : x
  2. Step 2: Convert to fraction form
    165,780.76/248,710.03 = 65,946.64/x
  3. Step 3: Cross multiply
    165,780.76x = 248,710.03 × 65,946.64
  4. Step 4: Simplify right side
    165,780.76x = 16,401,590,812.80
  5. Step 5: Solve for x
    x = 16,401,590,812.80/165,780.76
  6. Step 6: Final answer
    x = 98,935.43

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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.