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Finding the Fourth Proportional to 117,829.74, 176,846.47 and 61,709.12

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Solution

The fourth proportional to 117,829.74, 176,846.47 and 61,709.12 is: 92,617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,829.74 : 176,846.47 = 61,709.12 : x
  2. Step 2: Convert to fraction form
    117,829.74/176,846.47 = 61,709.12/x
  3. Step 3: Cross multiply
    117,829.74x = 176,846.47 × 61,709.12
  4. Step 4: Simplify right side
    117,829.74x = 10,913,039,000.30
  5. Step 5: Solve for x
    x = 10,913,039,000.30/117,829.74
  6. Step 6: Final answer
    x = 92,617.02

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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.