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Finding the Fourth Proportional to 212,592, 293,376.96 and 117,098.40

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Solution

The fourth proportional to 212,592, 293,376.96 and 117,098.40 is: 161,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,592 : 293,376.96 = 117,098.40 : x
  2. Step 2: Convert to fraction form
    212,592/293,376.96 = 117,098.40/x
  3. Step 3: Cross multiply
    212,592x = 293,376.96 × 117,098.40
  4. Step 4: Simplify right side
    212,592x = 34,353,972,612.86
  5. Step 5: Solve for x
    x = 34,353,972,612.86/212,592
  6. Step 6: Final answer
    x = 161,595.79

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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.