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Finding the Fourth Proportional to 508,137.76, 762,206.58 and 134,164

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Solution

The fourth proportional to 508,137.76, 762,206.58 and 134,164 is: 201,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,137.76 : 762,206.58 = 134,164 : x
  2. Step 2: Convert to fraction form
    508,137.76/762,206.58 = 134,164/x
  3. Step 3: Cross multiply
    508,137.76x = 762,206.58 × 134,164
  4. Step 4: Simplify right side
    508,137.76x = 102,260,683,599.12
  5. Step 5: Solve for x
    x = 102,260,683,599.12/508,137.76
  6. Step 6: Final answer
    x = 201,245.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.