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Finding the Fourth Proportional to 276,820.34, 382,012.07 and 149,495.93

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Solution

The fourth proportional to 276,820.34, 382,012.07 and 149,495.93 is: 206,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,820.34 : 382,012.07 = 149,495.93 : x
  2. Step 2: Convert to fraction form
    276,820.34/382,012.07 = 149,495.93/x
  3. Step 3: Cross multiply
    276,820.34x = 382,012.07 × 149,495.93
  4. Step 4: Simplify right side
    276,820.34x = 57,109,249,675.88
  5. Step 5: Solve for x
    x = 57,109,249,675.88/276,820.34
  6. Step 6: Final answer
    x = 206,304.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.