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Finding the Fourth Proportional to 231,006.60, 346,509.90 and 106,590.60

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Solution

The fourth proportional to 231,006.60, 346,509.90 and 106,590.60 is: 159,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,006.60 : 346,509.90 = 106,590.60 : x
  2. Step 2: Convert to fraction form
    231,006.60/346,509.90 = 106,590.60/x
  3. Step 3: Cross multiply
    231,006.60x = 346,509.90 × 106,590.60
  4. Step 4: Simplify right side
    231,006.60x = 36,934,698,146.94
  5. Step 5: Solve for x
    x = 36,934,698,146.94/231,006.60
  6. Step 6: Final answer
    x = 159,885.90

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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.