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Finding the Fourth Proportional to 362,068.56, 543,102.84 and 112,770

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Solution

The fourth proportional to 362,068.56, 543,102.84 and 112,770 is: 169,155

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,068.56 : 543,102.84 = 112,770 : x
  2. Step 2: Convert to fraction form
    362,068.56/543,102.84 = 112,770/x
  3. Step 3: Cross multiply
    362,068.56x = 543,102.84 × 112,770
  4. Step 4: Simplify right side
    362,068.56x = 61,245,707,266.80
  5. Step 5: Solve for x
    x = 61,245,707,266.80/362,068.56
  6. Step 6: Final answer
    x = 169,155

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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.