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Finding the Fourth Proportional to 133,098.60, 199,647.90 and 106,854.60

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Solution

The fourth proportional to 133,098.60, 199,647.90 and 106,854.60 is: 160,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,098.60 : 199,647.90 = 106,854.60 : x
  2. Step 2: Convert to fraction form
    133,098.60/199,647.90 = 106,854.60/x
  3. Step 3: Cross multiply
    133,098.60x = 199,647.90 × 106,854.60
  4. Step 4: Simplify right side
    133,098.60x = 21,333,296,495.34
  5. Step 5: Solve for x
    x = 21,333,296,495.34/133,098.60
  6. Step 6: Final answer
    x = 160,281.90

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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.