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Finding the Fourth Proportional to 219,145.16, 328,717.02 and 52,933.16

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Solution

The fourth proportional to 219,145.16, 328,717.02 and 52,933.16 is: 79,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,145.16 : 328,717.02 = 52,933.16 : x
  2. Step 2: Convert to fraction form
    219,145.16/328,717.02 = 52,933.16/x
  3. Step 3: Cross multiply
    219,145.16x = 328,717.02 × 52,933.16
  4. Step 4: Simplify right side
    219,145.16x = 17,400,030,614.38
  5. Step 5: Solve for x
    x = 17,400,030,614.38/219,145.16
  6. Step 6: Final answer
    x = 79,399.57

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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.