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Finding the Fourth Proportional to 191,449.51, 264,197.71 and 106,566.64

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Solution

The fourth proportional to 191,449.51, 264,197.71 and 106,566.64 is: 147,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,449.51 : 264,197.71 = 106,566.64 : x
  2. Step 2: Convert to fraction form
    191,449.51/264,197.71 = 106,566.64/x
  3. Step 3: Cross multiply
    191,449.51x = 264,197.71 × 106,566.64
  4. Step 4: Simplify right side
    191,449.51x = 28,154,662,250.39
  5. Step 5: Solve for x
    x = 28,154,662,250.39/191,449.51
  6. Step 6: Final answer
    x = 147,060.51

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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.