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Finding the Fourth Proportional to 265,319.31, 366,147.63 and 144,465.69

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Solution

The fourth proportional to 265,319.31, 366,147.63 and 144,465.69 is: 199,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,319.31 : 366,147.63 = 144,465.69 : x
  2. Step 2: Convert to fraction form
    265,319.31/366,147.63 = 144,465.69/x
  3. Step 3: Cross multiply
    265,319.31x = 366,147.63 × 144,465.69
  4. Step 4: Simplify right side
    265,319.31x = 52,895,770,009.81
  5. Step 5: Solve for x
    x = 52,895,770,009.81/265,319.31
  6. Step 6: Final answer
    x = 199,366.45

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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.