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Finding the Fourth Proportional to 219,499.74, 302,910.57 and 118,897.74

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Solution

The fourth proportional to 219,499.74, 302,910.57 and 118,897.74 is: 164,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,499.74 : 302,910.57 = 118,897.74 : x
  2. Step 2: Convert to fraction form
    219,499.74/302,910.57 = 118,897.74/x
  3. Step 3: Cross multiply
    219,499.74x = 302,910.57 × 118,897.74
  4. Step 4: Simplify right side
    219,499.74x = 36,015,382,195.11
  5. Step 5: Solve for x
    x = 36,015,382,195.11/219,499.74
  6. Step 6: Final answer
    x = 164,079.38

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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.