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Finding the Fourth Proportional to 219,117.38, 302,382 and 118,515.38

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Solution

The fourth proportional to 219,117.38, 302,382 and 118,515.38 is: 163,551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,117.38 : 302,382 = 118,515.38 : x
  2. Step 2: Convert to fraction form
    219,117.38/302,382 = 118,515.38/x
  3. Step 3: Cross multiply
    219,117.38x = 302,382 × 118,515.38
  4. Step 4: Simplify right side
    219,117.38x = 35,836,917,635.16
  5. Step 5: Solve for x
    x = 35,836,917,635.16/219,117.38
  6. Step 6: Final answer
    x = 163,551.23

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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.