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Finding the Fourth Proportional to 253,465.30, 349,819.05 and 146,014.66

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Solution

The fourth proportional to 253,465.30, 349,819.05 and 146,014.66 is: 201,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,465.30 : 349,819.05 = 146,014.66 : x
  2. Step 2: Convert to fraction form
    253,465.30/349,819.05 = 146,014.66/x
  3. Step 3: Cross multiply
    253,465.30x = 349,819.05 × 146,014.66
  4. Step 4: Simplify right side
    253,465.30x = 51,078,709,647.27
  5. Step 5: Solve for x
    x = 51,078,709,647.27/253,465.30
  6. Step 6: Final answer
    x = 201,521.51

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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.