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Finding the Fourth Proportional to 191,056.58, 286,313.28 and 140,741

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Solution

The fourth proportional to 191,056.58, 286,313.28 and 140,741 is: 210,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,056.58 : 286,313.28 = 140,741 : x
  2. Step 2: Convert to fraction form
    191,056.58/286,313.28 = 140,741/x
  3. Step 3: Cross multiply
    191,056.58x = 286,313.28 × 140,741
  4. Step 4: Simplify right side
    191,056.58x = 40,296,017,340.48
  5. Step 5: Solve for x
    x = 40,296,017,340.48/191,056.58
  6. Step 6: Final answer
    x = 210,911.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.