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Finding the Fourth Proportional to 163,106.10, 244,659.15 and 119,042.10

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Solution

The fourth proportional to 163,106.10, 244,659.15 and 119,042.10 is: 178,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,106.10 : 244,659.15 = 119,042.10 : x
  2. Step 2: Convert to fraction form
    163,106.10/244,659.15 = 119,042.10/x
  3. Step 3: Cross multiply
    163,106.10x = 244,659.15 × 119,042.10
  4. Step 4: Simplify right side
    163,106.10x = 29,124,739,000.22
  5. Step 5: Solve for x
    x = 29,124,739,000.22/163,106.10
  6. Step 6: Final answer
    x = 178,563.15

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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.