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Finding the Fourth Proportional to 186,122, 256,848.48 and 105,523.76

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Solution

The fourth proportional to 186,122, 256,848.48 and 105,523.76 is: 145,622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,122 : 256,848.48 = 105,523.76 : x
  2. Step 2: Convert to fraction form
    186,122/256,848.48 = 105,523.76/x
  3. Step 3: Cross multiply
    186,122x = 256,848.48 × 105,523.76
  4. Step 4: Simplify right side
    186,122x = 27,103,617,359.88
  5. Step 5: Solve for x
    x = 27,103,617,359.88/186,122
  6. Step 6: Final answer
    x = 145,622.86

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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.