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Finding the Fourth Proportional to 186,067.68, 256,768 and 105,502.88

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Solution

The fourth proportional to 186,067.68, 256,768 and 105,502.88 is: 145,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,067.68 : 256,768 = 105,502.88 : x
  2. Step 2: Convert to fraction form
    186,067.68/256,768 = 105,502.88/x
  3. Step 3: Cross multiply
    186,067.68x = 256,768 × 105,502.88
  4. Step 4: Simplify right side
    186,067.68x = 27,089,763,491.84
  5. Step 5: Solve for x
    x = 27,089,763,491.84/186,067.68
  6. Step 6: Final answer
    x = 145,590.91

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1.5x scale

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.