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Finding the Fourth Proportional to 110,497.08, 165,914.50 and 105,948.12

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Solution

The fourth proportional to 110,497.08, 165,914.50 and 105,948.12 is: 159,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,497.08 : 165,914.50 = 105,948.12 : x
  2. Step 2: Convert to fraction form
    110,497.08/165,914.50 = 105,948.12/x
  3. Step 3: Cross multiply
    110,497.08x = 165,914.50 × 105,948.12
  4. Step 4: Simplify right side
    110,497.08x = 17,578,328,261.30
  5. Step 5: Solve for x
    x = 17,578,328,261.30/110,497.08
  6. Step 6: Final answer
    x = 159,084.10

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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.