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Finding the Fourth Proportional to 186,275.82, 257,053.48 and 105,698.54

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Solution

The fourth proportional to 186,275.82, 257,053.48 and 105,698.54 is: 145,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,275.82 : 257,053.48 = 105,698.54 : x
  2. Step 2: Convert to fraction form
    186,275.82/257,053.48 = 105,698.54/x
  3. Step 3: Cross multiply
    186,275.82x = 257,053.48 × 105,698.54
  4. Step 4: Simplify right side
    186,275.82x = 27,170,177,537.92
  5. Step 5: Solve for x
    x = 27,170,177,537.92/186,275.82
  6. Step 6: Final answer
    x = 145,859.93

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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.