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Finding the Fourth Proportional to 202,582.35, 304,064.24 and 102,814.16

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Solution

The fourth proportional to 202,582.35, 304,064.24 and 102,814.16 is: 154,318.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,582.35 : 304,064.24 = 102,814.16 : x
  2. Step 2: Convert to fraction form
    202,582.35/304,064.24 = 102,814.16/x
  3. Step 3: Cross multiply
    202,582.35x = 304,064.24 × 102,814.16
  4. Step 4: Simplify right side
    202,582.35x = 31,262,107,387.25
  5. Step 5: Solve for x
    x = 31,262,107,387.25/202,582.35
  6. Step 6: Final answer
    x = 154,318.02

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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.