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Finding the Fourth Proportional to 110,495.10, 165,911.50 and 105,946.14

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Solution

The fourth proportional to 110,495.10, 165,911.50 and 105,946.14 is: 159,081.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,495.10 : 165,911.50 = 105,946.14 : x
  2. Step 2: Convert to fraction form
    110,495.10/165,911.50 = 105,946.14/x
  3. Step 3: Cross multiply
    110,495.10x = 165,911.50 × 105,946.14
  4. Step 4: Simplify right side
    110,495.10x = 17,577,683,006.61
  5. Step 5: Solve for x
    x = 17,577,683,006.61/110,495.10
  6. Step 6: Final answer
    x = 159,081.11

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1.5x scale

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.