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Finding the Fourth Proportional to 265,754.41, 366,742.75 and 144,897.71

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Solution

The fourth proportional to 265,754.41, 366,742.75 and 144,897.71 is: 199,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,754.41 : 366,742.75 = 144,897.71 : x
  2. Step 2: Convert to fraction form
    265,754.41/366,742.75 = 144,897.71/x
  3. Step 3: Cross multiply
    265,754.41x = 366,742.75 × 144,897.71
  4. Step 4: Simplify right side
    265,754.41x = 53,140,184,634.10
  5. Step 5: Solve for x
    x = 53,140,184,634.10/265,754.41
  6. Step 6: Final answer
    x = 199,959.75

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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.