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Finding the Fourth Proportional to 103,438.70, 155,158.05 and 102,782.60

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Solution

The fourth proportional to 103,438.70, 155,158.05 and 102,782.60 is: 154,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,438.70 : 155,158.05 = 102,782.60 : x
  2. Step 2: Convert to fraction form
    103,438.70/155,158.05 = 102,782.60/x
  3. Step 3: Cross multiply
    103,438.70x = 155,158.05 × 102,782.60
  4. Step 4: Simplify right side
    103,438.70x = 15,947,547,789.93
  5. Step 5: Solve for x
    x = 15,947,547,789.93/103,438.70
  6. Step 6: Final answer
    x = 154,173.90

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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.