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Finding the Fourth Proportional to 163,317.84, 225,321.72 and 102,893.88

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Solution

The fourth proportional to 163,317.84, 225,321.72 and 102,893.88 is: 141,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,317.84 : 225,321.72 = 102,893.88 : x
  2. Step 2: Convert to fraction form
    163,317.84/225,321.72 = 102,893.88/x
  3. Step 3: Cross multiply
    163,317.84x = 225,321.72 × 102,893.88
  4. Step 4: Simplify right side
    163,317.84x = 23,184,226,019.07
  5. Step 5: Solve for x
    x = 23,184,226,019.07/163,317.84
  6. Step 6: Final answer
    x = 141,957.71

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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.