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Finding the Fourth Proportional to 205,124.32, 283,097.52 and 119,064.88

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Solution

The fourth proportional to 205,124.32, 283,097.52 and 119,064.88 is: 164,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,124.32 : 283,097.52 = 119,064.88 : x
  2. Step 2: Convert to fraction form
    205,124.32/283,097.52 = 119,064.88/x
  3. Step 3: Cross multiply
    205,124.32x = 283,097.52 × 119,064.88
  4. Step 4: Simplify right side
    205,124.32x = 33,706,972,247.10
  5. Step 5: Solve for x
    x = 33,706,972,247.10/205,124.32
  6. Step 6: Final answer
    x = 164,324.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.