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Finding the Fourth Proportional to 164,002.60, 246,119.10 and 70,575.40

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Solution

The fourth proportional to 164,002.60, 246,119.10 and 70,575.40 is: 105,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,002.60 : 246,119.10 = 70,575.40 : x
  2. Step 2: Convert to fraction form
    164,002.60/246,119.10 = 70,575.40/x
  3. Step 3: Cross multiply
    164,002.60x = 246,119.10 × 70,575.40
  4. Step 4: Simplify right side
    164,002.60x = 17,369,953,930.14
  5. Step 5: Solve for x
    x = 17,369,953,930.14/164,002.60
  6. Step 6: Final answer
    x = 105,912.67

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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.