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Finding the Fourth Proportional to 362,077.70, 543,116.55 and 194,116.10

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Solution

The fourth proportional to 362,077.70, 543,116.55 and 194,116.10 is: 291,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,077.70 : 543,116.55 = 194,116.10 : x
  2. Step 2: Convert to fraction form
    362,077.70/543,116.55 = 194,116.10/x
  3. Step 3: Cross multiply
    362,077.70x = 543,116.55 × 194,116.10
  4. Step 4: Simplify right side
    362,077.70x = 105,427,666,531.46
  5. Step 5: Solve for x
    x = 105,427,666,531.46/362,077.70
  6. Step 6: Final answer
    x = 291,174.15

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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.