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Finding the Fourth Proportional to 265,063.32, 365,788.25 and 144,204.58

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Solution

The fourth proportional to 265,063.32, 365,788.25 and 144,204.58 is: 199,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,063.32 : 365,788.25 = 144,204.58 : x
  2. Step 2: Convert to fraction form
    265,063.32/365,788.25 = 144,204.58/x
  3. Step 3: Cross multiply
    265,063.32x = 365,788.25 × 144,204.58
  4. Step 4: Simplify right side
    265,063.32x = 52,748,340,960.19
  5. Step 5: Solve for x
    x = 52,748,340,960.19/265,063.32
  6. Step 6: Final answer
    x = 199,002.79

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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.