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Finding the Fourth Proportional to 202,700.18, 304,099.82 and 142,845.42

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Solution

The fourth proportional to 202,700.18, 304,099.82 and 142,845.42 is: 214,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,700.18 : 304,099.82 = 142,845.42 : x
  2. Step 2: Convert to fraction form
    202,700.18/304,099.82 = 142,845.42/x
  3. Step 3: Cross multiply
    202,700.18x = 304,099.82 × 142,845.42
  4. Step 4: Simplify right side
    202,700.18x = 43,439,266,509.82
  5. Step 5: Solve for x
    x = 43,439,266,509.82/202,700.18
  6. Step 6: Final answer
    x = 214,303.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.