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Finding the Fourth Proportional to 265,087, 365,821.68 and 144,229.16

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Solution

The fourth proportional to 265,087, 365,821.68 and 144,229.16 is: 199,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,087 : 365,821.68 = 144,229.16 : x
  2. Step 2: Convert to fraction form
    265,087/365,821.68 = 144,229.16/x
  3. Step 3: Cross multiply
    265,087x = 365,821.68 × 144,229.16
  4. Step 4: Simplify right side
    265,087x = 52,762,153,616.19
  5. Step 5: Solve for x
    x = 52,762,153,616.19/265,087
  6. Step 6: Final answer
    x = 199,037.12

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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.