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Finding the Fourth Proportional to 191,009.37, 286,415.63 and 85,738.11

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Solution

The fourth proportional to 191,009.37, 286,415.63 and 85,738.11 is: 128,562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,009.37 : 286,415.63 = 85,738.11 : x
  2. Step 2: Convert to fraction form
    191,009.37/286,415.63 = 85,738.11/x
  3. Step 3: Cross multiply
    191,009.37x = 286,415.63 × 85,738.11
  4. Step 4: Simplify right side
    191,009.37x = 24,556,734,361.97
  5. Step 5: Solve for x
    x = 24,556,734,361.97/191,009.37
  6. Step 6: Final answer
    x = 128,562.98

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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.