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Finding the Fourth Proportional to 310,256.30, 465,126.09 and 120,672.09

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Solution

The fourth proportional to 310,256.30, 465,126.09 and 120,672.09 is: 180,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,256.30 : 465,126.09 = 120,672.09 : x
  2. Step 2: Convert to fraction form
    310,256.30/465,126.09 = 120,672.09/x
  3. Step 3: Cross multiply
    310,256.30x = 465,126.09 × 120,672.09
  4. Step 4: Simplify right side
    310,256.30x = 56,127,737,393.83
  5. Step 5: Solve for x
    x = 56,127,737,393.83/310,256.30
  6. Step 6: Final answer
    x = 180,907.65

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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.