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Finding the Fourth Proportional to 156,930.10, 235,006.35 and 100,683.70

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Solution

The fourth proportional to 156,930.10, 235,006.35 and 100,683.70 is: 150,776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,930.10 : 235,006.35 = 100,683.70 : x
  2. Step 2: Convert to fraction form
    156,930.10/235,006.35 = 100,683.70/x
  3. Step 3: Cross multiply
    156,930.10x = 235,006.35 × 100,683.70
  4. Step 4: Simplify right side
    156,930.10x = 23,661,308,841.50
  5. Step 5: Solve for x
    x = 23,661,308,841.50/156,930.10
  6. Step 6: Final answer
    x = 150,776.10

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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.