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Finding the Fourth Proportional to 164,096.70, 245,853.45 and 140,768.70

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Solution

The fourth proportional to 164,096.70, 245,853.45 and 140,768.70 is: 210,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,096.70 : 245,853.45 = 140,768.70 : x
  2. Step 2: Convert to fraction form
    164,096.70/245,853.45 = 140,768.70/x
  3. Step 3: Cross multiply
    164,096.70x = 245,853.45 × 140,768.70
  4. Step 4: Simplify right side
    164,096.70x = 34,608,470,547.02
  5. Step 5: Solve for x
    x = 34,608,470,547.02/164,096.70
  6. Step 6: Final answer
    x = 210,902.90

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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.