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Finding the Fourth Proportional to 162,146.16, 242,781.84 and 105,846.84

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Solution

The fourth proportional to 162,146.16, 242,781.84 and 105,846.84 is: 158,484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,146.16 : 242,781.84 = 105,846.84 : x
  2. Step 2: Convert to fraction form
    162,146.16/242,781.84 = 105,846.84/x
  3. Step 3: Cross multiply
    162,146.16x = 242,781.84 × 105,846.84
  4. Step 4: Simplify right side
    162,146.16x = 25,697,690,573.39
  5. Step 5: Solve for x
    x = 25,697,690,573.39/162,146.16
  6. Step 6: Final answer
    x = 158,484.73

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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.