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Finding the Fourth Proportional to 265,068.29, 365,785.89 and 144,206.49

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Solution

The fourth proportional to 265,068.29, 365,785.89 and 144,206.49 is: 199,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,068.29 : 365,785.89 = 144,206.49 : x
  2. Step 2: Convert to fraction form
    265,068.29/365,785.89 = 144,206.49/x
  3. Step 3: Cross multiply
    265,068.29x = 365,785.89 × 144,206.49
  4. Step 4: Simplify right side
    265,068.29x = 52,748,699,288.43
  5. Step 5: Solve for x
    x = 52,748,699,288.43/265,068.29
  6. Step 6: Final answer
    x = 199,000.42

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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.