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Finding the Fourth Proportional to 119,499.54, 164,908.08 and 65,783.40

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Solution

The fourth proportional to 119,499.54, 164,908.08 and 65,783.40 is: 90,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,499.54 : 164,908.08 = 65,783.40 : x
  2. Step 2: Convert to fraction form
    119,499.54/164,908.08 = 65,783.40/x
  3. Step 3: Cross multiply
    119,499.54x = 164,908.08 × 65,783.40
  4. Step 4: Simplify right side
    119,499.54x = 10,848,214,189.87
  5. Step 5: Solve for x
    x = 10,848,214,189.87/119,499.54
  6. Step 6: Final answer
    x = 90,780.38

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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.