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Finding the Fourth Proportional to 119,098.80, 164,355.60 and 65,384.64

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Solution

The fourth proportional to 119,098.80, 164,355.60 and 65,384.64 is: 90,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,098.80 : 164,355.60 = 65,384.64 : x
  2. Step 2: Convert to fraction form
    119,098.80/164,355.60 = 65,384.64/x
  3. Step 3: Cross multiply
    119,098.80x = 164,355.60 × 65,384.64
  4. Step 4: Simplify right side
    119,098.80x = 10,746,331,737.98
  5. Step 5: Solve for x
    x = 10,746,331,737.98/119,098.80
  6. Step 6: Final answer
    x = 90,230.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.