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Finding the Fourth Proportional to 556,142.70, 834,206.76 and 135,418.98

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Solution

The fourth proportional to 556,142.70, 834,206.76 and 135,418.98 is: 203,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,142.70 : 834,206.76 = 135,418.98 : x
  2. Step 2: Convert to fraction form
    556,142.70/834,206.76 = 135,418.98/x
  3. Step 3: Cross multiply
    556,142.70x = 834,206.76 × 135,418.98
  4. Step 4: Simplify right side
    556,142.70x = 112,967,428,548.31
  5. Step 5: Solve for x
    x = 112,967,428,548.31/556,142.70
  6. Step 6: Final answer
    x = 203,126.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.