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Finding the Fourth Proportional to 212,702.34, 293,535.51 and 117,215.16

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Solution

The fourth proportional to 212,702.34, 293,535.51 and 117,215.16 is: 161,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,702.34 : 293,535.51 = 117,215.16 : x
  2. Step 2: Convert to fraction form
    212,702.34/293,535.51 = 117,215.16/x
  3. Step 3: Cross multiply
    212,702.34x = 293,535.51 × 117,215.16
  4. Step 4: Simplify right side
    212,702.34x = 34,406,811,770.33
  5. Step 5: Solve for x
    x = 34,406,811,770.33/212,702.34
  6. Step 6: Final answer
    x = 161,760.38

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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.