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Finding the Fourth Proportional to 254,074, 350,596.92 and 146,678.68

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Solution

The fourth proportional to 254,074, 350,596.92 and 146,678.68 is: 202,402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,074 : 350,596.92 = 146,678.68 : x
  2. Step 2: Convert to fraction form
    254,074/350,596.92 = 146,678.68/x
  3. Step 3: Cross multiply
    254,074x = 350,596.92 × 146,678.68
  4. Step 4: Simplify right side
    254,074x = 51,425,093,437.67
  5. Step 5: Solve for x
    x = 51,425,093,437.67/254,074
  6. Step 6: Final answer
    x = 202,402.03

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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.