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Finding the Fourth Proportional to 201,341.32, 302,004.99 and 51,582.85

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Solution

The fourth proportional to 201,341.32, 302,004.99 and 51,582.85 is: 77,372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,341.32 : 302,004.99 = 51,582.85 : x
  2. Step 2: Convert to fraction form
    201,341.32/302,004.99 = 51,582.85/x
  3. Step 3: Cross multiply
    201,341.32x = 302,004.99 × 51,582.85
  4. Step 4: Simplify right side
    201,341.32x = 15,578,277,343.41
  5. Step 5: Solve for x
    x = 15,578,277,343.41/201,341.32
  6. Step 6: Final answer
    x = 77,372.48

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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.