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Finding the Fourth Proportional to 186,152.58, 256,979.79 and 114,593.94

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Solution

The fourth proportional to 186,152.58, 256,979.79 and 114,593.94 is: 158,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,152.58 : 256,979.79 = 114,593.94 : x
  2. Step 2: Convert to fraction form
    186,152.58/256,979.79 = 114,593.94/x
  3. Step 3: Cross multiply
    186,152.58x = 256,979.79 × 114,593.94
  4. Step 4: Simplify right side
    186,152.58x = 29,448,326,636.47
  5. Step 5: Solve for x
    x = 29,448,326,636.47/186,152.58
  6. Step 6: Final answer
    x = 158,194.57

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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.