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Finding the Fourth Proportional to 214,597.92, 296,141.04 and 119,105.76

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Solution

The fourth proportional to 214,597.92, 296,141.04 and 119,105.76 is: 164,363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,597.92 : 296,141.04 = 119,105.76 : x
  2. Step 2: Convert to fraction form
    214,597.92/296,141.04 = 119,105.76/x
  3. Step 3: Cross multiply
    214,597.92x = 296,141.04 × 119,105.76
  4. Step 4: Simplify right side
    214,597.92x = 35,272,103,636.39
  5. Step 5: Solve for x
    x = 35,272,103,636.39/214,597.92
  6. Step 6: Final answer
    x = 164,363.68

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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.