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Finding the Fourth Proportional to 267,084.41, 368,580.78 and 146,223.63

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Solution

The fourth proportional to 267,084.41, 368,580.78 and 146,223.63 is: 201,790.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,084.41 : 368,580.78 = 146,223.63 : x
  2. Step 2: Convert to fraction form
    267,084.41/368,580.78 = 146,223.63/x
  3. Step 3: Cross multiply
    267,084.41x = 368,580.78 × 146,223.63
  4. Step 4: Simplify right side
    267,084.41x = 53,895,219,599.83
  5. Step 5: Solve for x
    x = 53,895,219,599.83/267,084.41
  6. Step 6: Final answer
    x = 201,790.96

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1.5x scale

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.