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Finding the Fourth Proportional to 265,208.64, 365,982.75 and 144,352.59

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Solution

The fourth proportional to 265,208.64, 365,982.75 and 144,352.59 is: 199,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,208.64 : 365,982.75 = 144,352.59 : x
  2. Step 2: Convert to fraction form
    265,208.64/365,982.75 = 144,352.59/x
  3. Step 3: Cross multiply
    265,208.64x = 365,982.75 × 144,352.59
  4. Step 4: Simplify right side
    265,208.64x = 52,830,557,857.82
  5. Step 5: Solve for x
    x = 52,830,557,857.82/265,208.64
  6. Step 6: Final answer
    x = 199,203.76

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1.5x scale

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.