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Finding the Fourth Proportional to 253,163.64, 349,364.91 and 142,773.51

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Solution

The fourth proportional to 253,163.64, 349,364.91 and 142,773.51 is: 197,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,163.64 : 349,364.91 = 142,773.51 : x
  2. Step 2: Convert to fraction form
    253,163.64/349,364.91 = 142,773.51/x
  3. Step 3: Cross multiply
    253,163.64x = 349,364.91 × 142,773.51
  4. Step 4: Simplify right side
    253,163.64x = 49,880,054,471.53
  5. Step 5: Solve for x
    x = 49,880,054,471.53/253,163.64
  6. Step 6: Final answer
    x = 197,026.93

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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.