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Finding the Fourth Proportional to 191,410.56, 264,142.08 and 106,525.80

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Solution

The fourth proportional to 191,410.56, 264,142.08 and 106,525.80 is: 147,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,410.56 : 264,142.08 = 106,525.80 : x
  2. Step 2: Convert to fraction form
    191,410.56/264,142.08 = 106,525.80/x
  3. Step 3: Cross multiply
    191,410.56x = 264,142.08 × 106,525.80
  4. Step 4: Simplify right side
    191,410.56x = 28,137,946,385.66
  5. Step 5: Solve for x
    x = 28,137,946,385.66/191,410.56
  6. Step 6: Final answer
    x = 147,003.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.