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Finding the Fourth Proportional to 212,096.62, 292,695.32 and 116,604

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Solution

The fourth proportional to 212,096.62, 292,695.32 and 116,604 is: 160,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,096.62 : 292,695.32 = 116,604 : x
  2. Step 2: Convert to fraction form
    212,096.62/292,695.32 = 116,604/x
  3. Step 3: Cross multiply
    212,096.62x = 292,695.32 × 116,604
  4. Step 4: Simplify right side
    212,096.62x = 34,129,445,384.79
  5. Step 5: Solve for x
    x = 34,129,445,384.79/212,096.62
  6. Step 6: Final answer
    x = 160,914.61

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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.