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Finding the Fourth Proportional to 261,311, 360,609.36 and 148,141.04

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Solution

The fourth proportional to 261,311, 360,609.36 and 148,141.04 is: 204,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,311 : 360,609.36 = 148,141.04 : x
  2. Step 2: Convert to fraction form
    261,311/360,609.36 = 148,141.04/x
  3. Step 3: Cross multiply
    261,311x = 360,609.36 × 148,141.04
  4. Step 4: Simplify right side
    261,311x = 53,421,045,624.13
  5. Step 5: Solve for x
    x = 53,421,045,624.13/261,311
  6. Step 6: Final answer
    x = 204,434.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.