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Finding the Fourth Proportional to 210,466.82, 290,392.17 and 135,117.38

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Solution

The fourth proportional to 210,466.82, 290,392.17 and 135,117.38 is: 186,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,466.82 : 290,392.17 = 135,117.38 : x
  2. Step 2: Convert to fraction form
    210,466.82/290,392.17 = 135,117.38/x
  3. Step 3: Cross multiply
    210,466.82x = 290,392.17 × 135,117.38
  4. Step 4: Simplify right side
    210,466.82x = 39,237,029,182.91
  5. Step 5: Solve for x
    x = 39,237,029,182.91/210,466.82
  6. Step 6: Final answer
    x = 186,428.57

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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.