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Finding the Fourth Proportional to 219,368.25, 302,774.96 and 150,551.87

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Solution

The fourth proportional to 219,368.25, 302,774.96 and 150,551.87 is: 207,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,368.25 : 302,774.96 = 150,551.87 : x
  2. Step 2: Convert to fraction form
    219,368.25/302,774.96 = 150,551.87/x
  3. Step 3: Cross multiply
    219,368.25x = 302,774.96 × 150,551.87
  4. Step 4: Simplify right side
    219,368.25x = 45,583,335,279.68
  5. Step 5: Solve for x
    x = 45,583,335,279.68/219,368.25
  6. Step 6: Final answer
    x = 207,793.68

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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.