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Finding the Fourth Proportional to 211,013.68, 291,119.38 and 138,456.63

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Solution

The fourth proportional to 211,013.68, 291,119.38 and 138,456.63 is: 191,017.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,013.68 : 291,119.38 = 138,456.63 : x
  2. Step 2: Convert to fraction form
    211,013.68/291,119.38 = 138,456.63/x
  3. Step 3: Cross multiply
    211,013.68x = 291,119.38 × 138,456.63
  4. Step 4: Simplify right side
    211,013.68x = 40,307,408,282.49
  5. Step 5: Solve for x
    x = 40,307,408,282.49/211,013.68
  6. Step 6: Final answer
    x = 191,017.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.