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Finding the Fourth Proportional to 191,049.94, 286,303.36 and 140,734.36

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Solution

The fourth proportional to 191,049.94, 286,303.36 and 140,734.36 is: 210,901.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,049.94 : 286,303.36 = 140,734.36 : x
  2. Step 2: Convert to fraction form
    191,049.94/286,303.36 = 140,734.36/x
  3. Step 3: Cross multiply
    191,049.94x = 286,303.36 × 140,734.36
  4. Step 4: Simplify right side
    191,049.94x = 40,292,720,405.37
  5. Step 5: Solve for x
    x = 40,292,720,405.37/191,049.94
  6. Step 6: Final answer
    x = 210,901.51

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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.