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Finding the Fourth Proportional to 256,603.44, 354,098.46 and 141,875.43

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Solution

The fourth proportional to 256,603.44, 354,098.46 and 141,875.43 is: 195,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,603.44 : 354,098.46 = 141,875.43 : x
  2. Step 2: Convert to fraction form
    256,603.44/354,098.46 = 141,875.43/x
  3. Step 3: Cross multiply
    256,603.44x = 354,098.46 × 141,875.43
  4. Step 4: Simplify right side
    256,603.44x = 50,237,871,274.84
  5. Step 5: Solve for x
    x = 50,237,871,274.84/256,603.44
  6. Step 6: Final answer
    x = 195,780.19

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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.