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Finding the Fourth Proportional to 202,543.48, 304,005.90 and 102,775.30

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Solution

The fourth proportional to 202,543.48, 304,005.90 and 102,775.30 is: 154,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,543.48 : 304,005.90 = 102,775.30 : x
  2. Step 2: Convert to fraction form
    202,543.48/304,005.90 = 102,775.30/x
  3. Step 3: Cross multiply
    202,543.48x = 304,005.90 × 102,775.30
  4. Step 4: Simplify right side
    202,543.48x = 31,244,297,574.27
  5. Step 5: Solve for x
    x = 31,244,297,574.27/202,543.48
  6. Step 6: Final answer
    x = 154,259.71

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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.