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Finding the Fourth Proportional to 191,451.64, 264,198.70 and 106,566.88

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Solution

The fourth proportional to 191,451.64, 264,198.70 and 106,566.88 is: 147,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,451.64 : 264,198.70 = 106,566.88 : x
  2. Step 2: Convert to fraction form
    191,451.64/264,198.70 = 106,566.88/x
  3. Step 3: Cross multiply
    191,451.64x = 264,198.70 × 106,566.88
  4. Step 4: Simplify right side
    191,451.64x = 28,154,831,159.06
  5. Step 5: Solve for x
    x = 28,154,831,159.06/191,451.64
  6. Step 6: Final answer
    x = 147,059.75

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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.