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Finding the Fourth Proportional to 267,380.83, 368,985.89 and 146,526.53

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Solution

The fourth proportional to 267,380.83, 368,985.89 and 146,526.53 is: 202,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,380.83 : 368,985.89 = 146,526.53 : x
  2. Step 2: Convert to fraction form
    267,380.83/368,985.89 = 146,526.53/x
  3. Step 3: Cross multiply
    267,380.83x = 368,985.89 × 146,526.53
  4. Step 4: Simplify right side
    267,380.83x = 54,066,223,369.44
  5. Step 5: Solve for x
    x = 54,066,223,369.44/267,380.83
  6. Step 6: Final answer
    x = 202,206.81

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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.