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Finding the Fourth Proportional to 267,342.48, 368,928.20 and 146,482.64

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Solution

The fourth proportional to 267,342.48, 368,928.20 and 146,482.64 is: 202,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,342.48 : 368,928.20 = 146,482.64 : x
  2. Step 2: Convert to fraction form
    267,342.48/368,928.20 = 146,482.64/x
  3. Step 3: Cross multiply
    267,342.48x = 368,928.20 × 146,482.64
  4. Step 4: Simplify right side
    267,342.48x = 54,041,576,706.45
  5. Step 5: Solve for x
    x = 54,041,576,706.45/267,342.48
  6. Step 6: Final answer
    x = 202,143.62

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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.