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Finding the Fourth Proportional to 133,576.70, 200,047.02 and 77,298.17

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Solution

The fourth proportional to 133,576.70, 200,047.02 and 77,298.17 is: 115,763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,576.70 : 200,047.02 = 77,298.17 : x
  2. Step 2: Convert to fraction form
    133,576.70/200,047.02 = 77,298.17/x
  3. Step 3: Cross multiply
    133,576.70x = 200,047.02 × 77,298.17
  4. Step 4: Simplify right side
    133,576.70x = 15,463,268,559.95
  5. Step 5: Solve for x
    x = 15,463,268,559.95/133,576.70
  6. Step 6: Final answer
    x = 115,763.22

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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.