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Finding the Fourth Proportional to 208,099.80, 312,149.70 and 178,575.30

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Solution

The fourth proportional to 208,099.80, 312,149.70 and 178,575.30 is: 267,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,099.80 : 312,149.70 = 178,575.30 : x
  2. Step 2: Convert to fraction form
    208,099.80/312,149.70 = 178,575.30/x
  3. Step 3: Cross multiply
    208,099.80x = 312,149.70 × 178,575.30
  4. Step 4: Simplify right side
    208,099.80x = 55,742,226,322.41
  5. Step 5: Solve for x
    x = 55,742,226,322.41/208,099.80
  6. Step 6: Final answer
    x = 267,862.95

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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.