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Finding the Fourth Proportional to 254,151.84, 350,730.90 and 140,974.59

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Solution

The fourth proportional to 254,151.84, 350,730.90 and 140,974.59 is: 194,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,151.84 : 350,730.90 = 140,974.59 : x
  2. Step 2: Convert to fraction form
    254,151.84/350,730.90 = 140,974.59/x
  3. Step 3: Cross multiply
    254,151.84x = 350,730.90 × 140,974.59
  4. Step 4: Simplify right side
    254,151.84x = 49,444,144,827.83
  5. Step 5: Solve for x
    x = 49,444,144,827.83/254,151.84
  6. Step 6: Final answer
    x = 194,545.69

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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.