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Finding the Fourth Proportional to 212,102.70, 292,706.91 and 116,611.26

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Solution

The fourth proportional to 212,102.70, 292,706.91 and 116,611.26 is: 160,926.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,102.70 : 292,706.91 = 116,611.26 : x
  2. Step 2: Convert to fraction form
    212,102.70/292,706.91 = 116,611.26/x
  3. Step 3: Cross multiply
    212,102.70x = 292,706.91 × 116,611.26
  4. Step 4: Simplify right side
    212,102.70x = 34,132,921,585.81
  5. Step 5: Solve for x
    x = 34,132,921,585.81/212,102.70
  6. Step 6: Final answer
    x = 160,926.39

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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.