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Finding the Fourth Proportional to 186,062.78, 256,758.84 and 105,495.74

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Solution

The fourth proportional to 186,062.78, 256,758.84 and 105,495.74 is: 145,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,062.78 : 256,758.84 = 105,495.74 : x
  2. Step 2: Convert to fraction form
    186,062.78/256,758.84 = 105,495.74/x
  3. Step 3: Cross multiply
    186,062.78x = 256,758.84 × 105,495.74
  4. Step 4: Simplify right side
    186,062.78x = 27,086,963,827.34
  5. Step 5: Solve for x
    x = 27,086,963,827.34/186,062.78
  6. Step 6: Final answer
    x = 145,579.70

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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.