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Finding the Fourth Proportional to 186,104.18, 256,741.40 and 114,441.86

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Solution

The fourth proportional to 186,104.18, 256,741.40 and 114,441.86 is: 157,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,104.18 : 256,741.40 = 114,441.86 : x
  2. Step 2: Convert to fraction form
    186,104.18/256,741.40 = 114,441.86/x
  3. Step 3: Cross multiply
    186,104.18x = 256,741.40 × 114,441.86
  4. Step 4: Simplify right side
    186,104.18x = 29,381,963,355.00
  5. Step 5: Solve for x
    x = 29,381,963,355.00/186,104.18
  6. Step 6: Final answer
    x = 157,879.12

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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.