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Finding the Fourth Proportional to 218,948.69, 302,097.68 and 132,905.55

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Solution

The fourth proportional to 218,948.69, 302,097.68 and 132,905.55 is: 183,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,948.69 : 302,097.68 = 132,905.55 : x
  2. Step 2: Convert to fraction form
    218,948.69/302,097.68 = 132,905.55/x
  3. Step 3: Cross multiply
    218,948.69x = 302,097.68 × 132,905.55
  4. Step 4: Simplify right side
    218,948.69x = 40,150,457,649.60
  5. Step 5: Solve for x
    x = 40,150,457,649.60/218,948.69
  6. Step 6: Final answer
    x = 183,378.39

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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.