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Finding the Fourth Proportional to 202,953.10, 304,429.65 and 146,965.90

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Solution

The fourth proportional to 202,953.10, 304,429.65 and 146,965.90 is: 220,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,953.10 : 304,429.65 = 146,965.90 : x
  2. Step 2: Convert to fraction form
    202,953.10/304,429.65 = 146,965.90/x
  3. Step 3: Cross multiply
    202,953.10x = 304,429.65 × 146,965.90
  4. Step 4: Simplify right side
    202,953.10x = 44,740,777,498.94
  5. Step 5: Solve for x
    x = 44,740,777,498.94/202,953.10
  6. Step 6: Final answer
    x = 220,448.85

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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.