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Finding the Fourth Proportional to 191,014.65, 286,579.26 and 77,103.90

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Solution

The fourth proportional to 191,014.65, 286,579.26 and 77,103.90 is: 115,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,014.65 : 286,579.26 = 77,103.90 : x
  2. Step 2: Convert to fraction form
    191,014.65/286,579.26 = 77,103.90/x
  3. Step 3: Cross multiply
    191,014.65x = 286,579.26 × 77,103.90
  4. Step 4: Simplify right side
    191,014.65x = 22,096,378,605.11
  5. Step 5: Solve for x
    x = 22,096,378,605.11/191,014.65
  6. Step 6: Final answer
    x = 115,678.97

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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.