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Finding the Fourth Proportional to 219,409.38, 302,807.30 and 158,205.92

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Solution

The fourth proportional to 219,409.38, 302,807.30 and 158,205.92 is: 218,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,409.38 : 302,807.30 = 158,205.92 : x
  2. Step 2: Convert to fraction form
    219,409.38/302,807.30 = 158,205.92/x
  3. Step 3: Cross multiply
    219,409.38x = 302,807.30 × 158,205.92
  4. Step 4: Simplify right side
    219,409.38x = 47,905,905,174.15
  5. Step 5: Solve for x
    x = 47,905,905,174.15/219,409.38
  6. Step 6: Final answer
    x = 218,340.28

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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.