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Finding the Fourth Proportional to 202,710.23, 304,114.82 and 142,855.41

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Solution

The fourth proportional to 202,710.23, 304,114.82 and 142,855.41 is: 214,317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,710.23 : 304,114.82 = 142,855.41 : x
  2. Step 2: Convert to fraction form
    202,710.23/304,114.82 = 142,855.41/x
  3. Step 3: Cross multiply
    202,710.23x = 304,114.82 × 142,855.41
  4. Step 4: Simplify right side
    202,710.23x = 43,444,447,298.18
  5. Step 5: Solve for x
    x = 43,444,447,298.18/202,710.23
  6. Step 6: Final answer
    x = 214,317.98

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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.