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Finding the Fourth Proportional to 103,338.10, 154,970.70 and 36,780.40

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Solution

The fourth proportional to 103,338.10, 154,970.70 and 36,780.40 is: 55,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,338.10 : 154,970.70 = 36,780.40 : x
  2. Step 2: Convert to fraction form
    103,338.10/154,970.70 = 36,780.40/x
  3. Step 3: Cross multiply
    103,338.10x = 154,970.70 × 36,780.40
  4. Step 4: Simplify right side
    103,338.10x = 5,699,884,334.28
  5. Step 5: Solve for x
    x = 5,699,884,334.28/103,338.10
  6. Step 6: Final answer
    x = 55,157.63

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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.