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Finding the Fourth Proportional to 267,496, 369,145.12 and 148,264

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Solution

The fourth proportional to 267,496, 369,145.12 and 148,264 is: 204,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,496 : 369,145.12 = 148,264 : x
  2. Step 2: Convert to fraction form
    267,496/369,145.12 = 148,264/x
  3. Step 3: Cross multiply
    267,496x = 369,145.12 × 148,264
  4. Step 4: Simplify right side
    267,496x = 54,730,932,071.68
  5. Step 5: Solve for x
    x = 54,730,932,071.68/267,496
  6. Step 6: Final answer
    x = 204,604.67

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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.