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Finding the Fourth Proportional to 299,752.08, 413,645.40 and 163,782.96

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Solution

The fourth proportional to 299,752.08, 413,645.40 and 163,782.96 is: 226,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,752.08 : 413,645.40 = 163,782.96 : x
  2. Step 2: Convert to fraction form
    299,752.08/413,645.40 = 163,782.96/x
  3. Step 3: Cross multiply
    299,752.08x = 413,645.40 × 163,782.96
  4. Step 4: Simplify right side
    299,752.08x = 67,748,068,002.38
  5. Step 5: Solve for x
    x = 67,748,068,002.38/299,752.08
  6. Step 6: Final answer
    x = 226,013.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.