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Finding the Fourth Proportional to 201,701.72, 302,482 and 59,509.24

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Solution

The fourth proportional to 201,701.72, 302,482 and 59,509.24 is: 89,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,701.72 : 302,482 = 59,509.24 : x
  2. Step 2: Convert to fraction form
    201,701.72/302,482 = 59,509.24/x
  3. Step 3: Cross multiply
    201,701.72x = 302,482 × 59,509.24
  4. Step 4: Simplify right side
    201,701.72x = 18,000,473,933.68
  5. Step 5: Solve for x
    x = 18,000,473,933.68/201,701.72
  6. Step 6: Final answer
    x = 89,243.04

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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.