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Finding the Fourth Proportional to 194,477.55, 291,599.64 and 76,007.76

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Solution

The fourth proportional to 194,477.55, 291,599.64 and 76,007.76 is: 113,966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,477.55 : 291,599.64 = 76,007.76 : x
  2. Step 2: Convert to fraction form
    194,477.55/291,599.64 = 76,007.76/x
  3. Step 3: Cross multiply
    194,477.55x = 291,599.64 × 76,007.76
  4. Step 4: Simplify right side
    194,477.55x = 22,163,835,453.21
  5. Step 5: Solve for x
    x = 22,163,835,453.21/194,477.55
  6. Step 6: Final answer
    x = 113,966.04

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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.