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Finding the Fourth Proportional to 119,214.89, 164,516.41 and 65,499.77

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Solution

The fourth proportional to 119,214.89, 164,516.41 and 65,499.77 is: 90,389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,214.89 : 164,516.41 = 65,499.77 : x
  2. Step 2: Convert to fraction form
    119,214.89/164,516.41 = 65,499.77/x
  3. Step 3: Cross multiply
    119,214.89x = 164,516.41 × 65,499.77
  4. Step 4: Simplify right side
    119,214.89x = 10,775,786,688.73
  5. Step 5: Solve for x
    x = 10,775,786,688.73/119,214.89
  6. Step 6: Final answer
    x = 90,389.61

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1.5x scale

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.