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Finding the Fourth Proportional to 261,461.30, 392,191.94 and 182,729.30

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Solution

The fourth proportional to 261,461.30, 392,191.94 and 182,729.30 is: 274,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,461.30 : 392,191.94 = 182,729.30 : x
  2. Step 2: Convert to fraction form
    261,461.30/392,191.94 = 182,729.30/x
  3. Step 3: Cross multiply
    261,461.30x = 392,191.94 × 182,729.30
  4. Step 4: Simplify right side
    261,461.30x = 71,664,957,157.71
  5. Step 5: Solve for x
    x = 71,664,957,157.71/261,461.30
  6. Step 6: Final answer
    x = 274,093.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.