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Finding the Fourth Proportional to 116,906.40, 175,244.40 and 57,751.20

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Solution

The fourth proportional to 116,906.40, 175,244.40 and 57,751.20 is: 86,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,906.40 : 175,244.40 = 57,751.20 : x
  2. Step 2: Convert to fraction form
    116,906.40/175,244.40 = 57,751.20/x
  3. Step 3: Cross multiply
    116,906.40x = 175,244.40 × 57,751.20
  4. Step 4: Simplify right side
    116,906.40x = 10,120,574,393.28
  5. Step 5: Solve for x
    x = 10,120,574,393.28/116,906.40
  6. Step 6: Final answer
    x = 86,569.89

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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.