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Finding the Fourth Proportional to 212,184.16, 292,815.20 and 116,696.96

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Solution

The fourth proportional to 212,184.16, 292,815.20 and 116,696.96 is: 161,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,184.16 : 292,815.20 = 116,696.96 : x
  2. Step 2: Convert to fraction form
    212,184.16/292,815.20 = 116,696.96/x
  3. Step 3: Cross multiply
    212,184.16x = 292,815.20 × 116,696.96
  4. Step 4: Simplify right side
    212,184.16x = 34,170,643,681.79
  5. Step 5: Solve for x
    x = 34,170,643,681.79/212,184.16
  6. Step 6: Final answer
    x = 161,042.39

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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.