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Finding the Fourth Proportional to 186,553.01, 257,444.03 and 105,984.96

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Solution

The fourth proportional to 186,553.01, 257,444.03 and 105,984.96 is: 146,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,553.01 : 257,444.03 = 105,984.96 : x
  2. Step 2: Convert to fraction form
    186,553.01/257,444.03 = 105,984.96/x
  3. Step 3: Cross multiply
    186,553.01x = 257,444.03 × 105,984.96
  4. Step 4: Simplify right side
    186,553.01x = 27,285,193,776.13
  5. Step 5: Solve for x
    x = 27,285,193,776.13/186,553.01
  6. Step 6: Final answer
    x = 146,259.73

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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.