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Finding the Fourth Proportional to 302,141.70, 416,922.84 and 174,793.50

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Solution

The fourth proportional to 302,141.70, 416,922.84 and 174,793.50 is: 241,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,141.70 : 416,922.84 = 174,793.50 : x
  2. Step 2: Convert to fraction form
    302,141.70/416,922.84 = 174,793.50/x
  3. Step 3: Cross multiply
    302,141.70x = 416,922.84 × 174,793.50
  4. Step 4: Simplify right side
    302,141.70x = 72,875,402,433.54
  5. Step 5: Solve for x
    x = 72,875,402,433.54/302,141.70
  6. Step 6: Final answer
    x = 241,196.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.