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Finding the Fourth Proportional to 256,575, 354,046.41 and 141,835.19

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Solution

The fourth proportional to 256,575, 354,046.41 and 141,835.19 is: 195,717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,575 : 354,046.41 = 141,835.19 : x
  2. Step 2: Convert to fraction form
    256,575/354,046.41 = 141,835.19/x
  3. Step 3: Cross multiply
    256,575x = 354,046.41 × 141,835.19
  4. Step 4: Simplify right side
    256,575x = 50,216,238,060.94
  5. Step 5: Solve for x
    x = 50,216,238,060.94/256,575
  6. Step 6: Final answer
    x = 195,717.58

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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.