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Finding the Fourth Proportional to 162,152.87, 242,164.69 and 138,205.22

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Solution

The fourth proportional to 162,152.87, 242,164.69 and 138,205.22 is: 206,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,152.87 : 242,164.69 = 138,205.22 : x
  2. Step 2: Convert to fraction form
    162,152.87/242,164.69 = 138,205.22/x
  3. Step 3: Cross multiply
    162,152.87x = 242,164.69 × 138,205.22
  4. Step 4: Simplify right side
    162,152.87x = 33,468,423,652.27
  5. Step 5: Solve for x
    x = 33,468,423,652.27/162,152.87
  6. Step 6: Final answer
    x = 206,400.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.