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Finding the Fourth Proportional to 191,137.14, 286,740.27 and 78,754.84

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Solution

The fourth proportional to 191,137.14, 286,740.27 and 78,754.84 is: 118,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,137.14 : 286,740.27 = 78,754.84 : x
  2. Step 2: Convert to fraction form
    191,137.14/286,740.27 = 78,754.84/x
  3. Step 3: Cross multiply
    191,137.14x = 286,740.27 × 78,754.84
  4. Step 4: Simplify right side
    191,137.14x = 22,582,183,368.56
  5. Step 5: Solve for x
    x = 22,582,183,368.56/191,137.14
  6. Step 6: Final answer
    x = 118,146.50

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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.