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Finding the Fourth Proportional to 218,881.14, 302,102.93 and 138,257.38

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Solution

The fourth proportional to 218,881.14, 302,102.93 and 138,257.38 is: 190,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,881.14 : 302,102.93 = 138,257.38 : x
  2. Step 2: Convert to fraction form
    218,881.14/302,102.93 = 138,257.38/x
  3. Step 3: Cross multiply
    218,881.14x = 302,102.93 × 138,257.38
  4. Step 4: Simplify right side
    218,881.14x = 41,767,960,315.40
  5. Step 5: Solve for x
    x = 41,767,960,315.40/218,881.14
  6. Step 6: Final answer
    x = 190,824.85

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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.