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Finding the Fourth Proportional to 253,898.67, 380,798.60 and 96,139.47

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Solution

The fourth proportional to 253,898.67, 380,798.60 and 96,139.47 is: 144,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,898.67 : 380,798.60 = 96,139.47 : x
  2. Step 2: Convert to fraction form
    253,898.67/380,798.60 = 96,139.47/x
  3. Step 3: Cross multiply
    253,898.67x = 380,798.60 × 96,139.47
  4. Step 4: Simplify right side
    253,898.67x = 36,609,775,100.04
  5. Step 5: Solve for x
    x = 36,609,775,100.04/253,898.67
  6. Step 6: Final answer
    x = 144,190.50

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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.