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Finding the Fourth Proportional to 265,088.87, 365,811.72 and 144,230.64

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Solution

The fourth proportional to 265,088.87, 365,811.72 and 144,230.64 is: 199,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,088.87 : 365,811.72 = 144,230.64 : x
  2. Step 2: Convert to fraction form
    265,088.87/365,811.72 = 144,230.64/x
  3. Step 3: Cross multiply
    265,088.87x = 365,811.72 × 144,230.64
  4. Step 4: Simplify right side
    265,088.87x = 52,761,256,582.44
  5. Step 5: Solve for x
    x = 52,761,256,582.44/265,088.87
  6. Step 6: Final answer
    x = 199,032.34

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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.