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Finding the Fourth Proportional to 242,210.96, 362,791.32 and 117,290

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Solution

The fourth proportional to 242,210.96, 362,791.32 and 117,290 is: 175,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,210.96 : 362,791.32 = 117,290 : x
  2. Step 2: Convert to fraction form
    242,210.96/362,791.32 = 117,290/x
  3. Step 3: Cross multiply
    242,210.96x = 362,791.32 × 117,290
  4. Step 4: Simplify right side
    242,210.96x = 42,551,793,922.80
  5. Step 5: Solve for x
    x = 42,551,793,922.80/242,210.96
  6. Step 6: Final answer
    x = 175,680.71

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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.