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Finding the Fourth Proportional to 253,948.42, 350,451.93 and 146,540.80

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Solution

The fourth proportional to 253,948.42, 350,451.93 and 146,540.80 is: 202,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,948.42 : 350,451.93 = 146,540.80 : x
  2. Step 2: Convert to fraction form
    253,948.42/350,451.93 = 146,540.80/x
  3. Step 3: Cross multiply
    253,948.42x = 350,451.93 × 146,540.80
  4. Step 4: Simplify right side
    253,948.42x = 51,355,506,183.74
  5. Step 5: Solve for x
    x = 51,355,506,183.74/253,948.42
  6. Step 6: Final answer
    x = 202,228.10

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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.