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Finding the Fourth Proportional to 163,046.84, 224,901.04 and 117,791.32

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Solution

The fourth proportional to 163,046.84, 224,901.04 and 117,791.32 is: 162,477.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,046.84 : 224,901.04 = 117,791.32 : x
  2. Step 2: Convert to fraction form
    163,046.84/224,901.04 = 117,791.32/x
  3. Step 3: Cross multiply
    163,046.84x = 224,901.04 × 117,791.32
  4. Step 4: Simplify right side
    163,046.84x = 26,491,390,370.97
  5. Step 5: Solve for x
    x = 26,491,390,370.97/163,046.84
  6. Step 6: Final answer
    x = 162,477.18

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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.