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Finding the Fourth Proportional to 253,466.30, 349,820.43 and 146,015.66

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Solution

The fourth proportional to 253,466.30, 349,820.43 and 146,015.66 is: 201,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,466.30 : 349,820.43 = 146,015.66 : x
  2. Step 2: Convert to fraction form
    253,466.30/349,820.43 = 146,015.66/x
  3. Step 3: Cross multiply
    253,466.30x = 349,820.43 × 146,015.66
  4. Step 4: Simplify right side
    253,466.30x = 51,079,260,967.93
  5. Step 5: Solve for x
    x = 51,079,260,967.93/253,466.30
  6. Step 6: Final answer
    x = 201,522.89

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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.