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Finding the Fourth Proportional to 212,538, 293,302.47 and 117,044.52

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Solution

The fourth proportional to 212,538, 293,302.47 and 117,044.52 is: 161,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,538 : 293,302.47 = 117,044.52 : x
  2. Step 2: Convert to fraction form
    212,538/293,302.47 = 117,044.52/x
  3. Step 3: Cross multiply
    212,538x = 293,302.47 × 117,044.52
  4. Step 4: Simplify right side
    212,538x = 34,329,446,815.96
  5. Step 5: Solve for x
    x = 34,329,446,815.96/212,538
  6. Step 6: Final answer
    x = 161,521.45

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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.