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Finding the Fourth Proportional to 265,095.63, 365,821.02 and 144,237.41

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Solution

The fourth proportional to 265,095.63, 365,821.02 and 144,237.41 is: 199,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,095.63 : 365,821.02 = 144,237.41 : x
  2. Step 2: Convert to fraction form
    265,095.63/365,821.02 = 144,237.41/x
  3. Step 3: Cross multiply
    265,095.63x = 365,821.02 × 144,237.41
  4. Step 4: Simplify right side
    265,095.63x = 52,765,074,619.25
  5. Step 5: Solve for x
    x = 52,765,074,619.25/265,095.63
  6. Step 6: Final answer
    x = 199,041.66

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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.