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Finding the Fourth Proportional to 242,186.96, 362,755.32 and 117,266

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Solution

The fourth proportional to 242,186.96, 362,755.32 and 117,266 is: 175,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,186.96 : 362,755.32 = 117,266 : x
  2. Step 2: Convert to fraction form
    242,186.96/362,755.32 = 117,266/x
  3. Step 3: Cross multiply
    242,186.96x = 362,755.32 × 117,266
  4. Step 4: Simplify right side
    242,186.96x = 42,538,865,355.12
  5. Step 5: Solve for x
    x = 42,538,865,355.12/242,186.96
  6. Step 6: Final answer
    x = 175,644.74

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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.