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Finding the Fourth Proportional to 212,688.56, 293,507.83 and 120,807.20

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Solution

The fourth proportional to 212,688.56, 293,507.83 and 120,807.20 is: 166,712.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,688.56 : 293,507.83 = 120,807.20 : x
  2. Step 2: Convert to fraction form
    212,688.56/293,507.83 = 120,807.20/x
  3. Step 3: Cross multiply
    212,688.56x = 293,507.83 × 120,807.20
  4. Step 4: Simplify right side
    212,688.56x = 35,457,859,120.38
  5. Step 5: Solve for x
    x = 35,457,859,120.38/212,688.56
  6. Step 6: Final answer
    x = 166,712.58

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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.