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Finding the Fourth Proportional to 156,964.40, 235,446.60 and 97,866.80

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Solution

The fourth proportional to 156,964.40, 235,446.60 and 97,866.80 is: 146,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,964.40 : 235,446.60 = 97,866.80 : x
  2. Step 2: Convert to fraction form
    156,964.40/235,446.60 = 97,866.80/x
  3. Step 3: Cross multiply
    156,964.40x = 235,446.60 × 97,866.80
  4. Step 4: Simplify right side
    156,964.40x = 23,042,405,312.88
  5. Step 5: Solve for x
    x = 23,042,405,312.88/156,964.40
  6. Step 6: Final answer
    x = 146,800.20

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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.