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Finding the Fourth Proportional to 242,208.96, 362,788.32 and 117,288

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Solution

The fourth proportional to 242,208.96, 362,788.32 and 117,288 is: 175,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,208.96 : 362,788.32 = 117,288 : x
  2. Step 2: Convert to fraction form
    242,208.96/362,788.32 = 117,288/x
  3. Step 3: Cross multiply
    242,208.96x = 362,788.32 × 117,288
  4. Step 4: Simplify right side
    242,208.96x = 42,550,716,476.16
  5. Step 5: Solve for x
    x = 42,550,716,476.16/242,208.96
  6. Step 6: Final answer
    x = 175,677.71

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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.