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Finding the Fourth Proportional to 119,293.37, 164,628.02 and 64,849.20

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Solution

The fourth proportional to 119,293.37, 164,628.02 and 64,849.20 is: 89,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,293.37 : 164,628.02 = 64,849.20 : x
  2. Step 2: Convert to fraction form
    119,293.37/164,628.02 = 64,849.20/x
  3. Step 3: Cross multiply
    119,293.37x = 164,628.02 × 64,849.20
  4. Step 4: Simplify right side
    119,293.37x = 10,675,995,070.34
  5. Step 5: Solve for x
    x = 10,675,995,070.34/119,293.37
  6. Step 6: Final answer
    x = 89,493.62

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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.