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Finding the Fourth Proportional to 191,090.41, 286,642.09 and 50,849.17

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Solution

The fourth proportional to 191,090.41, 286,642.09 and 50,849.17 is: 76,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,090.41 : 286,642.09 = 50,849.17 : x
  2. Step 2: Convert to fraction form
    191,090.41/286,642.09 = 50,849.17/x
  3. Step 3: Cross multiply
    191,090.41x = 286,642.09 × 50,849.17
  4. Step 4: Simplify right side
    191,090.41x = 14,575,511,710.52
  5. Step 5: Solve for x
    x = 14,575,511,710.52/191,090.41
  6. Step 6: Final answer
    x = 76,275.48

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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.