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Finding the Fourth Proportional to 153,886.40, 230,910.86 and 109,196.52

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Solution

The fourth proportional to 153,886.40, 230,910.86 and 109,196.52 is: 163,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,886.40 : 230,910.86 = 109,196.52 : x
  2. Step 2: Convert to fraction form
    153,886.40/230,910.86 = 109,196.52/x
  3. Step 3: Cross multiply
    153,886.40x = 230,910.86 × 109,196.52
  4. Step 4: Simplify right side
    153,886.40x = 25,214,661,796.22
  5. Step 5: Solve for x
    x = 25,214,661,796.22/153,886.40
  6. Step 6: Final answer
    x = 163,852.44

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