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Finding the Fourth Proportional to 208,034.41, 312,098.64 and 65,888.32

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Solution

The fourth proportional to 208,034.41, 312,098.64 and 65,888.32 is: 98,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,034.41 : 312,098.64 = 65,888.32 : x
  2. Step 2: Convert to fraction form
    208,034.41/312,098.64 = 65,888.32/x
  3. Step 3: Cross multiply
    208,034.41x = 312,098.64 × 65,888.32
  4. Step 4: Simplify right side
    208,034.41x = 20,563,655,063.88
  5. Step 5: Solve for x
    x = 20,563,655,063.88/208,034.41
  6. Step 6: Final answer
    x = 98,847.37

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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.