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Finding the Fourth Proportional to 185,834.48, 256,454.34 and 105,260

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Solution

The fourth proportional to 185,834.48, 256,454.34 and 105,260 is: 145,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,834.48 : 256,454.34 = 105,260 : x
  2. Step 2: Convert to fraction form
    185,834.48/256,454.34 = 105,260/x
  3. Step 3: Cross multiply
    185,834.48x = 256,454.34 × 105,260
  4. Step 4: Simplify right side
    185,834.48x = 26,994,383,828.40
  5. Step 5: Solve for x
    x = 26,994,383,828.40/185,834.48
  6. Step 6: Final answer
    x = 145,260.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.