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Finding the Fourth Proportional to 208,563.42, 312,845.13 and 96,210.40

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Solution

The fourth proportional to 208,563.42, 312,845.13 and 96,210.40 is: 144,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,563.42 : 312,845.13 = 96,210.40 : x
  2. Step 2: Convert to fraction form
    208,563.42/312,845.13 = 96,210.40/x
  3. Step 3: Cross multiply
    208,563.42x = 312,845.13 × 96,210.40
  4. Step 4: Simplify right side
    208,563.42x = 30,098,953,245.60
  5. Step 5: Solve for x
    x = 30,098,953,245.60/208,563.42
  6. Step 6: Final answer
    x = 144,315.59

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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.