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Finding the Fourth Proportional to 177,049.40, 265,805.75 and 105,133.75

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Solution

The fourth proportional to 177,049.40, 265,805.75 and 105,133.75 is: 157,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,049.40 : 265,805.75 = 105,133.75 : x
  2. Step 2: Convert to fraction form
    177,049.40/265,805.75 = 105,133.75/x
  3. Step 3: Cross multiply
    177,049.40x = 265,805.75 × 105,133.75
  4. Step 4: Simplify right side
    177,049.40x = 27,945,154,867.38
  5. Step 5: Solve for x
    x = 27,945,154,867.38/177,049.40
  6. Step 6: Final answer
    x = 157,838.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.