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Finding the Fourth Proportional to 222,510.65, 307,065.80 and 120,536.30

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Solution

The fourth proportional to 222,510.65, 307,065.80 and 120,536.30 is: 166,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,510.65 : 307,065.80 = 120,536.30 : x
  2. Step 2: Convert to fraction form
    222,510.65/307,065.80 = 120,536.30/x
  3. Step 3: Cross multiply
    222,510.65x = 307,065.80 × 120,536.30
  4. Step 4: Simplify right side
    222,510.65x = 37,012,576,457.55
  5. Step 5: Solve for x
    x = 37,012,576,457.55/222,510.65
  6. Step 6: Final answer
    x = 166,340.70

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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.