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Finding the Fourth Proportional to 119,359.83, 164,717.66 and 64,912.50

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Solution

The fourth proportional to 119,359.83, 164,717.66 and 64,912.50 is: 89,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,359.83 : 164,717.66 = 64,912.50 : x
  2. Step 2: Convert to fraction form
    119,359.83/164,717.66 = 64,912.50/x
  3. Step 3: Cross multiply
    119,359.83x = 164,717.66 × 64,912.50
  4. Step 4: Simplify right side
    119,359.83x = 10,692,234,780.19
  5. Step 5: Solve for x
    x = 10,692,234,780.19/119,359.83
  6. Step 6: Final answer
    x = 89,579.84

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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.