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Finding the Fourth Proportional to 237,757.41, 356,690.80 and 77,838.51

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Solution

The fourth proportional to 237,757.41, 356,690.80 and 77,838.51 is: 116,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,757.41 : 356,690.80 = 77,838.51 : x
  2. Step 2: Convert to fraction form
    237,757.41/356,690.80 = 77,838.51/x
  3. Step 3: Cross multiply
    237,757.41x = 356,690.80 × 77,838.51
  4. Step 4: Simplify right side
    237,757.41x = 27,764,280,402.71
  5. Step 5: Solve for x
    x = 27,764,280,402.71/237,757.41
  6. Step 6: Final answer
    x = 116,775.67

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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.