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Finding the Fourth Proportional to 188,994.56, 283,452.80 and 83,746.40

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Solution

The fourth proportional to 188,994.56, 283,452.80 and 83,746.40 is: 125,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,994.56 : 283,452.80 = 83,746.40 : x
  2. Step 2: Convert to fraction form
    188,994.56/283,452.80 = 83,746.40/x
  3. Step 3: Cross multiply
    188,994.56x = 283,452.80 × 83,746.40
  4. Step 4: Simplify right side
    188,994.56x = 23,738,151,569.92
  5. Step 5: Solve for x
    x = 23,738,151,569.92/188,994.56
  6. Step 6: Final answer
    x = 125,602.30

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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.