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Finding the Fourth Proportional to 256,135.40, 353,465.19 and 141,421.19

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Solution

The fourth proportional to 256,135.40, 353,465.19 and 141,421.19 is: 195,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,135.40 : 353,465.19 = 141,421.19 : x
  2. Step 2: Convert to fraction form
    256,135.40/353,465.19 = 141,421.19/x
  3. Step 3: Cross multiply
    256,135.40x = 353,465.19 × 141,421.19
  4. Step 4: Simplify right side
    256,135.40x = 49,987,466,026.05
  5. Step 5: Solve for x
    x = 49,987,466,026.05/256,135.40
  6. Step 6: Final answer
    x = 195,160.32

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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.