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Finding the Fourth Proportional to 164,096.40, 245,996.10 and 114,200.40

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Solution

The fourth proportional to 164,096.40, 245,996.10 and 114,200.40 is: 171,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,096.40 : 245,996.10 = 114,200.40 : x
  2. Step 2: Convert to fraction form
    164,096.40/245,996.10 = 114,200.40/x
  3. Step 3: Cross multiply
    164,096.40x = 245,996.10 × 114,200.40
  4. Step 4: Simplify right side
    164,096.40x = 28,092,853,018.44
  5. Step 5: Solve for x
    x = 28,092,853,018.44/164,096.40
  6. Step 6: Final answer
    x = 171,197.25

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1.5x scale

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.