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Finding the Fourth Proportional to 254,598.42, 351,356.94 and 141,421.17

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Solution

The fourth proportional to 254,598.42, 351,356.94 and 141,421.17 is: 195,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,598.42 : 351,356.94 = 141,421.17 : x
  2. Step 2: Convert to fraction form
    254,598.42/351,356.94 = 141,421.17/x
  3. Step 3: Cross multiply
    254,598.42x = 351,356.94 × 141,421.17
  4. Step 4: Simplify right side
    254,598.42x = 49,689,309,542.42
  5. Step 5: Solve for x
    x = 49,689,309,542.42/254,598.42
  6. Step 6: Final answer
    x = 195,167.39

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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.