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Finding the Fourth Proportional to 118,141.84, 177,012.16 and 71,296.28

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Solution

The fourth proportional to 118,141.84, 177,012.16 and 71,296.28 is: 106,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,141.84 : 177,012.16 = 71,296.28 : x
  2. Step 2: Convert to fraction form
    118,141.84/177,012.16 = 71,296.28/x
  3. Step 3: Cross multiply
    118,141.84x = 177,012.16 × 71,296.28
  4. Step 4: Simplify right side
    118,141.84x = 12,620,308,522.76
  5. Step 5: Solve for x
    x = 12,620,308,522.76/118,141.84
  6. Step 6: Final answer
    x = 106,823.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.