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Finding the Fourth Proportional to 212,597.38, 293,209.86 and 155,172.16

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Solution

The fourth proportional to 212,597.38, 293,209.86 and 155,172.16 is: 214,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,597.38 : 293,209.86 = 155,172.16 : x
  2. Step 2: Convert to fraction form
    212,597.38/293,209.86 = 155,172.16/x
  3. Step 3: Cross multiply
    212,597.38x = 293,209.86 × 155,172.16
  4. Step 4: Simplify right side
    212,597.38x = 45,498,007,309.50
  5. Step 5: Solve for x
    x = 45,498,007,309.50/212,597.38
  6. Step 6: Final answer
    x = 214,010.20

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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.