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Finding the Fourth Proportional to 362,116.70, 543,175.05 and 194,155.10

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Solution

The fourth proportional to 362,116.70, 543,175.05 and 194,155.10 is: 291,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,116.70 : 543,175.05 = 194,155.10 : x
  2. Step 2: Convert to fraction form
    362,116.70/543,175.05 = 194,155.10/x
  3. Step 3: Cross multiply
    362,116.70x = 543,175.05 × 194,155.10
  4. Step 4: Simplify right side
    362,116.70x = 105,460,206,150.26
  5. Step 5: Solve for x
    x = 105,460,206,150.26/362,116.70
  6. Step 6: Final answer
    x = 291,232.65

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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.