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Finding the Fourth Proportional to 272,632.40, 409,013.40 and 114,779.60

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Solution

The fourth proportional to 272,632.40, 409,013.40 and 114,779.60 is: 172,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,632.40 : 409,013.40 = 114,779.60 : x
  2. Step 2: Convert to fraction form
    272,632.40/409,013.40 = 114,779.60/x
  3. Step 3: Cross multiply
    272,632.40x = 409,013.40 × 114,779.60
  4. Step 4: Simplify right side
    272,632.40x = 46,946,394,446.64
  5. Step 5: Solve for x
    x = 46,946,394,446.64/272,632.40
  6. Step 6: Final answer
    x = 172,196.68

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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.