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Finding the Fourth Proportional to 201,952.13, 302,928.19 and 54,208.13

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Solution

The fourth proportional to 201,952.13, 302,928.19 and 54,208.13 is: 81,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,952.13 : 302,928.19 = 54,208.13 : x
  2. Step 2: Convert to fraction form
    201,952.13/302,928.19 = 54,208.13/x
  3. Step 3: Cross multiply
    201,952.13x = 302,928.19 × 54,208.13
  4. Step 4: Simplify right side
    201,952.13x = 16,421,170,704.18
  5. Step 5: Solve for x
    x = 16,421,170,704.18/201,952.13
  6. Step 6: Final answer
    x = 81,312.19

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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.