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Finding the Fourth Proportional to 162,952.29, 243,917.01 and 112,054.32

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Solution

The fourth proportional to 162,952.29, 243,917.01 and 112,054.32 is: 167,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,952.29 : 243,917.01 = 112,054.32 : x
  2. Step 2: Convert to fraction form
    162,952.29/243,917.01 = 112,054.32/x
  3. Step 3: Cross multiply
    162,952.29x = 243,917.01 × 112,054.32
  4. Step 4: Simplify right side
    162,952.29x = 27,331,954,691.98
  5. Step 5: Solve for x
    x = 27,331,954,691.98/162,952.29
  6. Step 6: Final answer
    x = 167,729.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.