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Finding the Fourth Proportional to 119,533.05, 164,956.70 and 65,819.32

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Solution

The fourth proportional to 119,533.05, 164,956.70 and 65,819.32 is: 90,831.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,533.05 : 164,956.70 = 65,819.32 : x
  2. Step 2: Convert to fraction form
    119,533.05/164,956.70 = 65,819.32/x
  3. Step 3: Cross multiply
    119,533.05x = 164,956.70 × 65,819.32
  4. Step 4: Simplify right side
    119,533.05x = 10,857,337,575.60
  5. Step 5: Solve for x
    x = 10,857,337,575.60/119,533.05
  6. Step 6: Final answer
    x = 90,831.26

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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.