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Finding the Fourth Proportional to 302,144.70, 416,926.98 and 174,796.50

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Solution

The fourth proportional to 302,144.70, 416,926.98 and 174,796.50 is: 241,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,144.70 : 416,926.98 = 174,796.50 : x
  2. Step 2: Convert to fraction form
    302,144.70/416,926.98 = 174,796.50/x
  3. Step 3: Cross multiply
    302,144.70x = 416,926.98 × 174,796.50
  4. Step 4: Simplify right side
    302,144.70x = 72,877,376,859.57
  5. Step 5: Solve for x
    x = 72,877,376,859.57/302,144.70
  6. Step 6: Final answer
    x = 241,200.25

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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.