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Finding the Fourth Proportional to 193,698.72, 267,298.83 and 107,655.51

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Solution

The fourth proportional to 193,698.72, 267,298.83 and 107,655.51 is: 148,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,698.72 : 267,298.83 = 107,655.51 : x
  2. Step 2: Convert to fraction form
    193,698.72/267,298.83 = 107,655.51/x
  3. Step 3: Cross multiply
    193,698.72x = 267,298.83 × 107,655.51
  4. Step 4: Simplify right side
    193,698.72x = 28,776,191,866.05
  5. Step 5: Solve for x
    x = 28,776,191,866.05/193,698.72
  6. Step 6: Final answer
    x = 148,561.60

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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.