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Finding the Fourth Proportional to 310,576.10, 465,907.35 and 133,081.70

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Solution

The fourth proportional to 310,576.10, 465,907.35 and 133,081.70 is: 199,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,576.10 : 465,907.35 = 133,081.70 : x
  2. Step 2: Convert to fraction form
    310,576.10/465,907.35 = 133,081.70/x
  3. Step 3: Cross multiply
    310,576.10x = 465,907.35 × 133,081.70
  4. Step 4: Simplify right side
    310,576.10x = 62,003,742,180.50
  5. Step 5: Solve for x
    x = 62,003,742,180.50/310,576.10
  6. Step 6: Final answer
    x = 199,641.06

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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.