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Finding the Fourth Proportional to 191,243.78, 286,928.07 and 91,411.75

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Solution

The fourth proportional to 191,243.78, 286,928.07 and 91,411.75 is: 137,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,243.78 : 286,928.07 = 91,411.75 : x
  2. Step 2: Convert to fraction form
    191,243.78/286,928.07 = 91,411.75/x
  3. Step 3: Cross multiply
    191,243.78x = 286,928.07 × 91,411.75
  4. Step 4: Simplify right side
    191,243.78x = 26,228,597,002.82
  5. Step 5: Solve for x
    x = 26,228,597,002.82/191,243.78
  6. Step 6: Final answer
    x = 137,147.45

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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.