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Finding the Fourth Proportional to 147,903.65, 204,035.70 and 96,893.92

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Solution

The fourth proportional to 147,903.65, 204,035.70 and 96,893.92 is: 133,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,903.65 : 204,035.70 = 96,893.92 : x
  2. Step 2: Convert to fraction form
    147,903.65/204,035.70 = 96,893.92/x
  3. Step 3: Cross multiply
    147,903.65x = 204,035.70 × 96,893.92
  4. Step 4: Simplify right side
    147,903.65x = 19,769,819,222.35
  5. Step 5: Solve for x
    x = 19,769,819,222.35/147,903.65
  6. Step 6: Final answer
    x = 133,666.88

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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.