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Finding the Fourth Proportional to 165,409.84, 228,270.36 and 101,784.88

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Solution

The fourth proportional to 165,409.84, 228,270.36 and 101,784.88 is: 140,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,409.84 : 228,270.36 = 101,784.88 : x
  2. Step 2: Convert to fraction form
    165,409.84/228,270.36 = 101,784.88/x
  3. Step 3: Cross multiply
    165,409.84x = 228,270.36 × 101,784.88
  4. Step 4: Simplify right side
    165,409.84x = 23,234,471,200.16
  5. Step 5: Solve for x
    x = 23,234,471,200.16/165,409.84
  6. Step 6: Final answer
    x = 140,466.08

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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.