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Finding the Fourth Proportional to 106,946.92, 160,575.90 and 78,953.32

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Solution

The fourth proportional to 106,946.92, 160,575.90 and 78,953.32 is: 118,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,946.92 : 160,575.90 = 78,953.32 : x
  2. Step 2: Convert to fraction form
    106,946.92/160,575.90 = 78,953.32/x
  3. Step 3: Cross multiply
    106,946.92x = 160,575.90 × 78,953.32
  4. Step 4: Simplify right side
    106,946.92x = 12,678,000,416.99
  5. Step 5: Solve for x
    x = 12,678,000,416.99/106,946.92
  6. Step 6: Final answer
    x = 118,544.79

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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.