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Finding the Fourth Proportional to 208,546.96, 312,898.74 and 96,280.96

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Solution

The fourth proportional to 208,546.96, 312,898.74 and 96,280.96 is: 144,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,546.96 : 312,898.74 = 96,280.96 : x
  2. Step 2: Convert to fraction form
    208,546.96/312,898.74 = 96,280.96/x
  3. Step 3: Cross multiply
    208,546.96x = 312,898.74 × 96,280.96
  4. Step 4: Simplify right side
    208,546.96x = 30,126,191,069.99
  5. Step 5: Solve for x
    x = 30,126,191,069.99/208,546.96
  6. Step 6: Final answer
    x = 144,457.59

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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.