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Finding the Fourth Proportional to 212,602, 293,390.76 and 117,108.40

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Solution

The fourth proportional to 212,602, 293,390.76 and 117,108.40 is: 161,609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,602 : 293,390.76 = 117,108.40 : x
  2. Step 2: Convert to fraction form
    212,602/293,390.76 = 117,108.40/x
  3. Step 3: Cross multiply
    212,602x = 293,390.76 × 117,108.40
  4. Step 4: Simplify right side
    212,602x = 34,358,522,478.38
  5. Step 5: Solve for x
    x = 34,358,522,478.38/212,602
  6. Step 6: Final answer
    x = 161,609.59

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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.